Prime p₀= 2612967579338879117 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 24 42 78 6 30 30 6 78 42 24 36 (?)
a_n: 0 36 60 102 180 186 216 246 252 330 372 396 432
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 432
Found by: RFGuy_KCCO
db: batch=82, k=13, 36 24 42 78 6 30

SPT(16)	2612965581552782527	0 4 22 30 36 40 54 66 100 112 126 130 136 144 162 166	-1997786096590
STPT(10)	2612966153455528469	0 2 18 20 30 32 42 44 60 62	-1425883350648
SPT(16)	2612966327770553189	0 32 42 50 68 74 110 158 204 252 288 294 312 320 330 362	-1251568325928
SPT(16)	2612966344848341611	0 12 22 52 78 112 148 150 178 180 216 250 276 306 316 328	-1234490537506
STPT(10)	2612966395276468067	0 2 12 14 72 74 132 134 144 146	-1184062411050
SPT(16)	2612967010792001959	0 12 30 82 84 112 160 174 208 222 270 298 300 352 370 382	-568546877158
STPT(10)	2612967815071914239	0 2 30 32 60 62 90 92 120 122	235733035122
SPT(16)	2612967870820961531	0 48 56 122 128 146 168 210 278 320 342 360 366 432 440 488	291482082414
SPT(16)	2612967960900871447	0 30 46 76 82 112 156 172 264 280 324 354 360 390 406 436	381561992330
TPT(14)	2612967996683254487	0 2 90 92 102 104 222 224 270 272 294 296 324 326	417344375370
SPT(16)	2612968223611632587	0 2 54 84 110 134 150 210 236 296 312 336 362 392 444 446	644272753470