Prime p₀= 1078808938367497019 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: suriv
db: batch=76, k=12, 2 10 2 4 2 22

STPT(10)	1078807921354486787	0 2 60 62 102 104 144 146 204 206	-1017013010232
TPT(14)	1078808051812500407	0 2 30 32 54 56 60 62 102 104 210 212 234 236	-886554996612
SPT(16)	1078808117527382063	0 20 38 56 78 104 108 138 176 206 210 236 258 276 294 314	-820840114956
SPT(16)	1078808178043035653	0 78 80 90 98 114 140 156 188 204 230 246 254 264 266 344	-760324461366
TPT(14)	1078808465394498227	0 2 30 32 72 74 102 104 174 176 210 212 312 314	-472972998792
SPT(16)	1078808831980833703	0 10 84 100 106 114 124 138 166 180 190 198 204 220 294 304	-106386663316
SPT(16)	1078809094266954607	0 42 46 76 90 100 130 144 172 186 216 226 240 270 274 316	155899457588
TPT(14)	1078809447022770347	0 2 162 164 210 212 294 296 372 374 384 386 390 392	508655273328
STPT(10)	1078809596988111809	0 2 18 20 30 32 42 44 60 62	658620614790
STPT(10)	1078809632235322121	0 2 36 38 78 80 120 122 156 158	693867825102
SPT(16)	1078809980443848227	0 32 42 54 60 122 144 150 194 200 222 284 290 302 312 344	1042076351208