Prime p₀= 2050795494405532709 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 34 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 168 170 258 260 300 302
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: 302
Found by: Landjunge
db: batch=80, k=12, 2 40 2 88 2 34

TPT(16)	2050794557444606969	0 2 72 74 78 80 132 134 162 164 210 212 438 440 552 554	-936960925740
SPT(16)	2050794678146413049	0 12 54 102 138 140 180 240 242 302 342 344 380 428 470 482	-816259119660
SPT(16)	2050794739104676237	0 4 12 72 84 100 112 150 214 252 264 280 292 352 360 364	-755300856472
SPT(16)	2050795103771551051	0 12 18 52 126 238 250 276 292 318 330 442 516 550 556 568	-390633981658
SPT(16)	2050795325356407571	0 40 42 58 60 88 102 132 166 196 210 238 240 256 258 298	-169049125138
SPT(16)	2050795431422542901	0 20 38 62 78 108 116 120 248 252 260 290 306 330 348 368	-62982989808
STPT(10)	2050795666529888459	0 2 18 20 30 32 42 44 60 62	172124355750
SPT(16)	2050795802205290947	0 22 70 76 120 132 154 192 214 252 274 286 330 336 384 406	307799758238
STPT(10)	2050795960069298339	0 2 18 20 30 32 42 44 60 62	465663765630
SPT(16)	2050796106266685293	0 6 8 20 50 60 98 120 146 168 206 216 246 258 260 266	611861152584
TPT(14)	2050796603004060671	0 2 6 8 60 62 126 128 138 140 156 158 210 212	1108598527962