Prime p₀= 2159817556823208251 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 40 2 88 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 138 140 180 182 186 188
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: 188
Found by: Landjunge
db: batch=81, k=12, 2 4 2 40 2 88

SPT(16)	2159816057510746237	0 16 30 42 52 70 82 94 102 114 126 144 154 166 180 196	-1499312462014
STPT(10)	2159816242485693677	0 2 30 32 72 74 114 116 144 146	-1314337514574
SPT(16)	2159816370198845207	0 2 6 20 24 26 50 56 120 126 150 152 156 170 174 176	-1186624363044
SPT(16)	2159816582012265881	0 8 20 42 78 102 146 258 320 432 476 500 536 558 570 578	-974810942370
SPT(16)	2159816625062549899	0 12 18 42 90 94 102 130 132 160 168 172 220 244 250 262	-931760658352
SPT(16)	2159816843704248643	0 6 66 76 106 168 178 186 220 228 238 300 330 340 400 406	-713118959608
STPT(10)	2159817800267267477	0 2 30 32 42 44 54 56 84 86	243444059226
SPT(16)	2159817903425287727	0 24 96 156 174 180 194 222 284 312 326 332 350 410 482 506	346602079476
STPT(10)	2159817911625351587	0 2 30 32 42 44 54 56 84 86	354802143336
STPT(10)	2159818308088105307	0 2 30 32 42 44 54 56 84 86	751264897056
SPT(16)	2159818314036868879	0 4 30 130 142 144 154 162 220 228 238 240 252 352 378 382	757213660628