Prime p₀= 2544876188783661959 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: fzs600
db: batch=82, k=12, 2 40 2 4 2 22

STPT(10)	2544875080324969937	0 2 30 32 42 44 54 56 84 86	-1108458692022
SPT(16)	2544875107820063351	0 32 56 60 62 90 120 146 156 182 212 240 242 246 270 302	-1080963598608
TPT(14)	2544875454467649011	0 2 36 38 60 62 126 128 156 158 210 212 288 290	-734316012948
STPT(10)	2544875951627649551	0 2 6 8 18 20 30 32 36 38	-237156012408
SPT(16)	2544876054524604769	0 34 108 132 148 174 178 198 244 264 268 294 310 334 408 442	-134259057190
SPT(16)	2544876103516660279	0 22 28 78 84 132 142 160 192 210 220 268 274 324 330 352	-85267001680
SPT(18)	2544876190314226723	0 34 58 76 94 126 136 168 190 204 226 258 268 300 318 336 360 394	1530564764
SPT(16)	2544876252230746439	0 74 78 80 92 108 144 150 152 158 194 210 222 224 228 302	63447084480
STPT(10)	2544876270756908351	0 2 6 8 48 50 90 92 96 98	81973246392
SPT(16)	2544876563866080259	0 12 18 70 82 102 124 144 148 168 190 210 222 274 280 292	375082418300
SPT(16)	2544876693303758189	0 18 24 62 120 122 134 158 234 258 270 272 330 368 374 392	504520096230