Prime p₀= 2350330321852342469 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 34 2 82 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 132 134 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=12, 2 10 2 34 2 82

SPT(16)	2350328702335689809	0 24 38 44 90 114 164 180 182 198 248 272 318 324 338 362	-1619516652660
STPT(10)	2350328996363588699	0 2 18 20 30 32 42 44 60 62	-1325488753770
SPT(16)	2350329268686225389	0 44 50 78 104 120 132 140 162 170 182 198 224 252 258 302	-1053166117080
SPT(16)	2350329743893171387	0 36 40 76 162 184 190 202 204 216 222 244 330 366 370 406	-577959171082
SPT(16)	2350329846845779657	0 52 70 102 112 132 144 190 234 280 292 312 322 354 372 424	-475006562812
SPT(16)	2350330132370039983	0 16 60 66 78 100 108 126 220 238 246 268 280 286 330 346	-189482302486
STPT(10)	2350330393889282741	0 2 96 98 138 140 180 182 276 278	72036940272
SPT(16)	2350330426985079199	0 40 58 112 118 160 178 222 238 282 300 342 348 402 420 460	105132736730
STPT(10)	2350330511375105681	0 2 36 38 78 80 120 122 156 158	189522763212
TPT(14)	2350330914227310251	0 2 18 20 96 98 150 152 180 182 186 188 198 200	592374967782
SPT(16)	2350330987922187967	0 12 36 46 90 120 130 142 144 156 166 196 240 250 274 286	666069845498