Prime p₀= 1219678096715061101 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 64 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 96 98 108 110 126 128
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: 128
Found by: xii5ku
db: batch=77, k=12, 2 16 2 10 2 64

SPT(16)	1219676279965702561	0 6 16 18 52 58 78 88 90 100 120 126 160 162 172 178	-1816749358540
STPT(10)	1219676496491162789	0 2 48 50 60 62 72 74 120 122	-1600223898312
SPT(16)	1219676751324076637	0 12 14 26 56 62 102 146 180 224 264 270 300 312 314 326	-1345390984464
SPT(16)	1219677532427620927	0 34 42 72 156 202 232 240 286 294 324 370 454 484 492 526	-564287440174
STPT(10)	1219677648720138077	0 2 30 32 42 44 54 56 84 86	-447994923024
STPT(10)	1219678050774682319	0 2 42 44 60 62 78 80 120 122	-45940378782
SPT(16)	1219678127924115529	0 22 24 54 82 124 138 174 208 244 258 300 328 358 360 382	31209054428
SPT(16)	1219678184192264807	0 6 26 36 44 72 92 126 140 174 194 222 230 240 260 266	87477203706
SPT(16)	1219678384708085111	0 8 32 38 50 68 98 120 140 162 192 210 222 228 252 260	287993024010
STPT(10)	1219678751241208787	0 2 42 44 72 74 102 104 144 146	654526147686
SPT(16)	1219679120726818481	0 2 6 32 48 56 72 90 98 116 132 140 156 182 186 188	1024011757380