Prime p₀= 1025379323094312911 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 126 128 156 158
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: 158
Found by: stoneageman
db: batch=76, k=12, 2 28 2 28 2 34

TPT(14)	1025378212690862411	0 2 6 8 36 38 66 68 258 260 276 278 318 320	-1110403450500
STPT(10)	1025378488590406859	0 2 18 20 30 32 42 44 60 62	-834503906052
STPT(10)	1025378505132292637	0 2 30 32 42 44 54 56 84 86	-817962020274
STPT(10)	1025378628657534269	0 2 18 20 30 32 42 44 60 62	-694436778642
SPT(16)	1025378960855205799	0 10 40 42 58 162 168 178 294 304 310 414 430 432 462 472	-362239107112
STPT(10)	1025378993059893551	0 2 30 32 78 80 126 128 156 158	-330034419360
SPT(16)	1025379381536999701	0 60 72 150 172 210 238 252 286 300 328 366 388 466 478 538	58442686790
SPT(16)	1025379384754037359	0 12 18 34 48 54 82 100 102 120 148 154 168 184 190 202	61659724448
SPT(13)	1025379415116596147	0 24 54 72 90 114 132 150 174 192 210 240 264	92022283236
SPT(16)	1025379423385518463	0 40 54 58 94 108 114 136 168 190 196 210 246 250 264 304	100291205552
SPT(16)	1025379454041793673	0 14 18 20 30 44 60 78 110 128 144 158 168 170 174 188	130947480762