Prime p₀= 2252457517332813221 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: Landjunge
db: batch=81, k=12, 2 28 2 28 2 76

SPT(16)	2252456127441769507	0 4 12 42 52 66 102 150 196 244 280 294 304 334 342 346	-1389891043714
TPT(14)	2252456744999870411	0 2 6 8 60 62 78 80 90 92 120 122 168 170	-772332942810
STPT(10)	2252456886798825137	0 2 54 56 72 74 90 92 144 146	-630533988084
SPT(16)	2252457237886777627	0 10 34 40 72 124 142 150 286 294 312 364 396 402 426 436	-279446035594
SPT(16)	2252457412561335769	0 18 28 34 58 60 84 88 114 118 142 144 168 174 184 202	-104771477452
SPT(16)	2252457497666094863	0 6 36 50 84 114 146 176 264 294 326 356 390 404 434 440	-19666718358
TPT(14)	2252458181385846389	0 2 90 92 102 104 132 134 138 140 198 200 228 230	664053033168
SPT(16)	2252458658778430643	0 8 60 66 84 120 170 186 188 204 254 290 308 314 366 374	1141445617422
STPT(10)	2252459072196495467	0 2 30 32 42 44 54 56 84 86	1554863682246
SPT(16)	2252459535321507101	0 38 78 102 108 122 140 146 162 168 186 200 206 230 270 308	2017988693880
STPT(10)	2252460130766986079	0 2 18 20 60 62 102 104 120 122	2613434172858