Prime p₀= 2343836939099730209 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 34 2 52 2 34 2 40 2 (?)
a_n: 0 2 42 44 78 80 132 134 168 170 210 212
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: 212
Found by: Landjunge
db: batch=81, k=12, 2 40 2 34 2 52

SPT(16)	2343835685215111613	0 30 56 108 158 164 168 186 218 236 240 246 296 348 374 404	-1253884618596
STPT(10)	2343835936916264849	0 2 42 44 60 62 78 80 120 122	-1002183465360
SPT(16)	2343836081075698151	0 8 38 42 68 78 92 96 122 126 140 150 176 180 210 218	-858024032058
STPT(10)	2343836395973302127	0 2 42 44 72 74 102 104 144 146	-543126428082
TPT(14)	2343836441773441817	0 2 24 26 42 44 72 74 114 116 180 182 270 272	-497326288392
SPT(16)	2343836484562174081	0 12 42 72 132 138 166 210 238 282 310 316 376 406 436 448	-454537556128
SPT(16)	2343836975548560071	0 38 60 68 90 108 170 182 198 210 272 290 312 320 342 380	36448829862
TPT(14)	2343837369701359919	0 2 60 62 132 134 210 212 270 272 288 290 330 332	430601629710
SPT(16)	2343837598930156379	0 14 30 42 50 98 128 138 224 234 264 312 320 332 348 362	659830426170
STPT(10)	2343837878036475809	0 2 18 20 30 32 42 44 60 62	938936745600
TPT(14)	2343837904902488249	0 2 78 80 162 164 168 170 180 182 192 194 222 224	965802758040