Prime p₀= 1923578423796125099 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 76 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 168 170 180 182 258 260
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: 260
Found by: Landjunge
db: batch=80, k=12, 2 76 2 10 2 76

SPT(16)	1923577969881290771	0 2 20 48 68 72 90 138 182 230 248 252 272 300 318 320	-453914834328
SPT(16)	1923578013286474541	0 8 66 120 122 140 252 272 276 296 408 426 428 482 540 548	-410509650558
SPT(16)	1923578075955216977	0 24 60 84 90 92 116 134 282 300 324 326 332 356 392 416	-347840908122
SPT(16)	1923578203988587781	0 8 32 110 126 140 150 182 186 218 228 242 258 336 360 368	-219807537318
SPT(16)	1923578264545832863	0 40 70 90 96 148 204 216 268 280 336 388 394 414 444 484	-159250292236
SPT(16)	1923578353441309709	0 18 20 114 140 144 170 198 200 228 254 258 284 378 380 398	-70354815390
STPT(10)	1923578464452762317	0 2 30 32 72 74 114 116 144 146	40656637218
SPT(16)	1923578969565309937	0 6 12 30 52 90 96 102 124 130 136 174 196 214 220 226	545769184838
SPT(16)	1923579040124017169	0 14 18 20 80 84 138 158 174 194 248 252 312 314 318 332	616327892070
STPT(10)	1923579064225902581	0 2 36 38 78 80 120 122 156 158	640429777482
SPT(16)	1923579079981218743	0 14 24 26 44 54 98 108 146 156 200 210 228 230 240 254	656185093644