Prime p₀= 312930749408335589 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 72 18 18 2 42 30 6 34 26 34 26 34 6 30 42 2 18 18 72 (?)
a_n: 0 72 90 108 110 152 182 188 222 248 282 308 342 348 378 420 422 440 458 530
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 530
derived by truncating larger tuple
Found by: Vitalii Koshura
db: batch=70, k=20, 72 18 18 2 42 30 6 34 26 34

TPT(12)	312930696874900877	0 2 12 14 54 56 90 92 120 122 192 194	-52533434712
SPT(18)	312930705826515737	0 32 44 90 114 116 132 134 186 200 252 254 270 272 296 342 354 386	-43581819852
SPT(14)	312930723198530383	0 6 78 88 90 100 144 160 204 214 216 226 298 304	-26209805206
SPT(14)	312930727001476169	0 14 32 80 84 102 108 224 230 248 252 300 318 332	-22406859420
TPT(12)	312930739420125551	0 2 6 8 18 20 90 92 96 98 126 128	-9988210038
SPT(22)	312930749408335567	0 22 94 112 130 132 174 204 210 244 270 304 330 364 370 400 442 444 462 480 552 574	-22
SPT(14)	312930750970210561	0 16 28 58 60 70 100 138 168 178 180 210 222 238	1561874972
SPT(14)	312930756442952489	0 8 30 72 92 114 132 290 308 330 350 392 414 422	7034616900
SPT(14)	312930761454345469	0 4 10 28 42 52 78 94 120 130 144 162 168 172	12046009880
SPT(14)	312930772011947693	0 14 36 50 60 80 114 170 204 224 234 248 270 284	22603612104
TPT(12)	312930791273591789	0 2 42 44 48 50 198 200 258 260 270 272	41865256200
SPT(14)	312930803211044563	0 4 6 18 34 88 94 150 156 210 226 238 240 244	53802708974