Prime p₀= 4638640713126780083 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 6 104 4 14 12 48 18 30 4 36 2 36 4 30 18 48 12 14 4 104 6 (?)
a_n: 0 6 110 114 128 140 188 206 236 240 276 278 314 318 348 366 414 426 440 444 548 554
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 554
Found by: [AF] Kalianthys
db: batch=85, k=22, 6 104 4 14 12 48 18 30 4 36 2

STPT(10)	4638638130280342079	0 2 48 50 90 92 132 134 180 182	-2582846438004
STPT(10)	4638638174870009249	0 2 18 20 30 32 42 44 60 62	-2538256770834
SPT(16)	4638638483366646091	0 22 42 102 142 198 210 238 240 268 280 336 376 436 456 478	-2229760133992
SPT(16)	4638639858311717099	0 8 14 30 48 90 98 114 134 150 158 200 218 234 240 248	-854815062984
SPT(16)	4638640232566824739	0 10 24 52 84 132 180 222 232 274 322 370 402 430 444 454	-480559955344
STPT(10)	4638640594203713687	0 2 42 44 72 74 102 104 144 146	-118923066396
STPT(10)	4638640856618468471	0 2 30 32 78 80 126 128 156 158	143491688388
SPT(16)	4638640929415149893	0 56 60 66 96 126 158 168 218 228 260 290 320 326 330 386	216288369810
STPT(10)	4638641007726675569	0 2 42 44 90 92 138 140 180 182	294599895486
SPT(16)	4638641107055071013	0 6 50 56 66 80 108 120 134 146 174 188 198 204 248 254	393928290930
SPT(16)	4638641335131315079	0 12 18 64 72 94 102 124 168 190 198 220 228 274 280 292	622004534996