Prime p₀= 346418284368321227 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 154 2 82 2 (?)
a_n: 0 2 12 14 30 32 54 56 210 212 294 296
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: 296
Found by: Cruncher Pete
db: batch=70, k=12, 10 16 22 154 82

SPT(14)	346418234301124877	0 14 20 30 42 72 86 90 104 134 146 156 162 176	-50067196350
TPT(12)	346418237604009917	0 2 12 14 54 56 132 134 150 152 162 164	-46764311310
SPT(14)	346418243322301567	0 30 82 84 96 102 126 130 154 160 172 174 226 256	-41046019660
SPT(16)	346418259111611591	0 6 20 36 90 116 120 150 266 296 300 326 380 396 410 416	-25256709636
SPT(14)	346418260745611253	0 14 38 50 80 108 140 174 206 234 264 276 300 314	-23622709974
SPT(14)	346418265368065321	0 16 36 60 142 148 168 190 210 216 298 322 342 358	-19000255906
SPT(14)	346418305536177053	0 26 56 90 110 116 170 186 240 246 266 300 330 356	21167855826
SPT(14)	346418332746270973	0 48 84 96 138 154 160 234 240 256 298 310 346 394	48377949746
SPT(14)	346418334920513767	0 22 42 70 72 114 142 174 202 244 246 274 294 316	50552192540
STPT(10)	346418338674196331	0 2 6 8 48 50 90 92 96 98	54305875104
SPT(14)	346418384036994767	0 32 36 56 92 122 150 212 240 270 306 326 330 362	99668673540