Prime p₀= 2286368685198928817 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 76 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 180 182 222 224 282 284
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: 284
Found by: Landjunge
db: batch=81, k=12, 2 58 2 40 2 76

STPT(10)	2286366908136394397	0 2 12 14 42 44 72 74 84 86	-1777062534420
STPT(10)	2286367757122578287	0 2 30 32 72 74 114 116 144 146	-928076350530
SPT(16)	2286367825427344247	0 30 84 134 294 362 374 420 446 492 504 572 732 782 836 866	-859771584570
SPT(16)	2286367895507342033	0 66 164 188 204 234 270 288 356 374 410 440 456 480 578 644	-789691586784
SPT(13)	2286368285106232919	0 18 48 54 78 168 174 180 270 294 300 330 348	-400092695898
STPT(10)	2286368507725841171	0 2 6 8 48 50 90 92 96 98	-177473087646
SPT(16)	2286368950446071483	0 14 18 26 90 104 110 128 156 174 180 194 258 266 270 284	265247142666
SPT(16)	2286369052132398559	0 40 78 82 100 124 132 160 162 190 198 222 240 244 282 322	366933469742
STPT(10)	2286369245362475237	0 2 30 32 42 44 54 56 84 86	560163546420
SPT(16)	2286369416512011137	0 26 66 72 74 102 132 140 156 164 194 222 224 230 270 296	731313082320
STPT(12)	2286369506475262499	0 2 30 32 42 44 90 92 102 104 132 134	821276333682