Prime p₀= 3231109322205198923 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 14 10 24 6 20 6 18 60 28 2 28 60 18 6 20 6 24 10 14 (?)
a_n: 0 14 24 48 54 74 80 98 158 186 188 216 276 294 300 320 326 350 360 374
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: 374
Found by: ladmo
db: batch=83, k=20, 14 10 24 6 20 6 18 60 28 2

SPT(16)	3231108007092707827	0 40 42 46 96 112 144 156 220 232 264 280 330 334 336 376	-1315112491096
SPT(16)	3231108068418272611	0 22 48 70 72 90 100 148 162 210 220 238 240 262 288 310	-1253786926312
SPT(16)	3231108178918842779	0 8 14 30 120 138 168 170 228 230 260 278 368 384 390 398	-1143286356144
SPT(16)	3231108655670014883	0 30 110 114 126 140 168 170 234 236 264 278 290 294 374 404	-666535184040
STPT(10)	3231108674431691477	0 2 54 56 72 74 90 92 144 146	-647773507446
STPT(12)	3231108890678653709	0 2 18 20 30 32 60 62 72 74 90 92	-431526545214
SPT(16)	3231109361218333883	0 14 30 60 120 164 186 210 320 344 366 410 470 500 516 530	39013134960
TPT(14)	3231109894797368117	0 2 30 32 42 44 120 122 132 134 144 146 210 212	572592169194
SPT(16)	3231110038148251499	0 18 32 42 50 78 114 128 174 188 224 252 260 270 284 302	715943052576
STPT(10)	3231110045271318557	0 2 12 14 42 44 72 74 84 86	723066119634
SPT(16)	3231110156871052363	0 10 76 84 94 160 174 244 246 316 330 396 406 414 480 490	834665853440