Prime p₀= 7395892895483501 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 10 2 34 2 (?)
a_n: 0 2 6 8 48 50 78 80 90 92 126 128
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: 128
Found by: Roadranner
db: batch=62, k=12, 4 40 28 10 34

SPT(14)	7395869948203159	0 78 82 100 184 210 252 280 322 348 432 450 454 532	-22947280342
TPT(12)	7395875283109931	0 2 120 122 126 128 156 158 168 170 258 260	-17612373570
SPT(14)	7395875862223987	0 12 34 40 46 76 112 144 180 210 216 222 244 256	-17033259514
SPT(14)	7395876358037599	0 4 12 42 60 64 78 94 108 112 130 160 168 172	-16537445902
SPT(14)	7395876748508251	0 6 28 42 58 66 72 76 82 90 106 120 142 148	-16146975250
SPT(14)	7395882308513323	0 18 34 36 60 70 76 78 84 94 118 120 136 154	-10586970178
STPT(10)	7395895902112967	0 2 30 32 42 44 54 56 84 86	3006629466
STPT(10)	7395918824206709	0 2 18 20 30 32 42 44 60 62	25928723208
SPT(20)	7395922005499789	0 58 60 94 114 132 144 150 172 192 220 240 262 268 280 298 318 352 354 412	29110016288
SPT(14)	7395946120259987	0 20 56 90 132 134 140 156 162 164 206 240 276 296	53224776486
SPT(14)	7395946557299297	0 6 62 86 92 104 114 152 162 174 180 204 260 266	53661815796