Prime p₀= 11902443956989631 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 10 2 34 2 40 2 (?)
a_n: 0 2 66 68 78 80 90 92 126 128 168 170
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: 170
Found by: emoga
db: batch=62, k=12, 64 10 10 34 40

SPT(14)	11902391125764077	0 30 110 152 170 182 200 276 294 306 324 366 446 476	-52831225554
SPT(14)	11902395675234991	0 58 72 138 168 198 222 238 262 292 322 388 402 460	-48281754640
SPT(14)	11902399686030739	0 4 18 34 40 70 90 118 138 168 174 190 204 208	-44270958892
SPT(14)	11902415989933829	0 120 138 150 174 180 210 258 288 294 318 330 348 468	-27967055802
SPT(14)	11902433176837891	0 36 42 58 108 112 142 156 186 190 240 256 262 298	-10780151740
SPT(14)	11902442534090497	0 12 16 70 72 90 100 156 166 184 186 240 244 256	-1422899134
SPT(14)	11902445171073883	0 4 6 18 40 48 54 160 166 174 196 208 210 214	1214084252
SPT(14)	11902468670544029	0 2 8 48 50 62 90 92 120 132 134 174 180 182	24713554398
SPT(14)	11902485566031491	0 26 48 56 62 78 90 98 110 126 132 140 162 188	41609041860
SPT(14)	11902489467959351	0 32 50 56 86 92 120 128 156 162 192 198 216 248	45510969720
STPT(10)	11902494510350537	0 2 30 32 60 62 90 92 120 122	50553360906