Prime p₀= 2820349580768958767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 102 104 114 116
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: 116
Found by: fzs600
db: batch=82, k=12, 2 10 2 28 2 28

SPT(16)	2820348604505938799	0 2 14 44 60 62 74 108 164 198 210 212 228 258 270 272	-976263019968
SPT(16)	2820348654103150979	0 12 48 68 90 138 168 174 188 194 224 272 294 314 350 362	-926665807788
SPT(16)	2820348660823056229	0 12 42 52 70 84 114 154 210 250 280 294 312 322 352 364	-919945902538
SPT(16)	2820348665416939817	0 6 62 72 116 132 144 150 206 212 224 240 284 294 350 356	-915352018950
TPT(14)	2820348952989556379	0 2 30 32 72 74 150 152 180 182 210 212 222 224	-627779402388
STPT(10)	2820349151887053497	0 2 12 14 42 44 72 74 84 86	-428881905270
SPT(16)	2820349629807135157	0 36 64 90 96 112 130 142 144 156 174 190 196 222 250 286	49038176390
SPT(16)	2820349996141550557	0 12 16 46 54 94 102 112 114 124 132 172 180 210 214 226	415372591790
SPT(16)	2820351323947789249	0 70 90 114 142 150 154 160 294 300 304 312 340 364 384 454	1743178830482
STPT(10)	2820351339967883387	0 2 12 14 42 44 72 74 84 86	1759198924620
STPT(10)	2820351889353986147	0 2 30 32 42 44 54 56 84 86	2308585027380