Prime p₀= 2338885042046589527 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 10 2 64 2 10 2 70 2 (?)
a_n: 0 2 72 74 84 86 150 152 162 164 234 236
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: 236
Found by: JohnMD
db: batch=81, k=12, 2 70 2 10 2 64

STPT(10)	2338882503504466877	0 2 12 14 42 44 72 74 84 86	-2538542122650
TPT(14)	2338882889079193151	0 2 120 122 126 128 270 272 288 290 456 458 576 578	-2152967396376
SPT(16)	2338882901343337607	0 14 24 44 66 96 140 156 164 180 224 254 276 296 306 320	-2140703251920
SPT(16)	2338883727356262209	0 2 12 54 78 84 104 194 198 288 308 314 338 380 390 392	-1314690327318
TPT(14)	2338884370718812991	0 2 6 8 48 50 90 92 240 242 390 392 396 398	-671327776536
SPT(16)	2338884595414445657	0 42 54 62 104 116 132 174 272 314 330 342 384 392 404 446	-446632143870
STPT(10)	2338885054402595519	0 2 18 20 30 32 42 44 60 62	12356005992
SPT(16)	2338885235689432471	0 18 40 42 46 70 72 96 172 196 198 222 226 228 250 268	193642842944
SPT(16)	2338885276656350663	0 8 20 38 98 134 174 194 204 224 264 300 360 378 390 398	234609761136
TPT(14)	2338885354799770739	0 2 30 32 132 134 180 182 198 200 210 212 222 224	312753181212
SPT(13)	2338885376653990639	0 18 48 132 138 168 180 192 222 228 312 342 360	334607401112