Prime p₀= 2737534974294741917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: [SG-FC] hl
db: batch=82, k=12, 2 58 2 22 2 4

SPT(16)	2737533526669871863	0 24 64 154 156 190 204 234 250 280 294 328 330 420 460 484	-1447624870054
STPT(10)	2737533534207551867	0 2 12 14 72 74 132 134 144 146	-1440087190050
SPT(18)	2737533752040446977	0 4 30 46 52 66 100 144 154 192 202 246 280 294 300 316 342 346	-1222254294940
SPT(16)	2737534002999383167	0 30 40 42 54 72 82 186 280 384 394 412 424 426 436 466	-971295358750
SPT(16)	2737534224488777257	0 12 60 124 162 166 172 216 250 294 300 304 342 406 454 466	-749805964660
STPT(10)	2737534573743979577	0 2 12 14 42 44 72 74 84 86	-400550762340
STPT(10)	2737535135411699057	0 2 30 32 42 44 54 56 84 86	161116957140
STPT(10)	2737535200078622717	0 2 54 56 72 74 90 92 144 146	225783880800
SPT(16)	2737535301817700581	0 18 22 28 82 148 172 192 208 228 252 318 372 378 382 400	327522958664
STPT(10)	2737535535191461049	0 2 12 14 90 92 168 170 180 182	560896719132
STPT(10)	2737535609897212121	0 2 6 8 48 50 90 92 96 98	635602470204