Prime p₀= 382265046601081121 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 34 2 28 2 52 2 46 2 (?)
a_n: 0 2 90 92 126 128 156 158 210 212 258 260
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: 260
Found by: Cruncher Pete
db: batch=70, k=12, 88 34 28 52 46

SPT(14)	382264953427926089	0 8 72 80 114 138 140 162 164 188 222 230 294 302	-93173155032
SPT(14)	382264975436423741	0 8 26 48 56 78 98 138 158 180 188 210 228 236	-71164657380
SPT(14)	382264983494809981	0 18 60 76 100 130 132 166 168 198 222 238 280 298	-63106271140
SPT(14)	382264992615779033	0 18 48 54 60 78 90 104 116 134 140 146 176 194	-53985302088
SPT(14)	382264998818680933	0 28 46 48 60 88 114 130 156 184 196 198 216 244	-47782400188
SPT(14)	382265014534693237	0 12 96 126 136 142 156 190 204 210 220 250 334 346	-32066387884
SPT(14)	382265049001345999	0 40 54 90 124 150 154 198 202 228 262 298 312 352	2400264878
SPT(16)	382265056199812403	0 18 44 50 60 116 144 158 216 230 258 314 324 330 356 374	9598731282
SPT(14)	382265062752317219	0 18 48 60 80 90 98 132 140 150 170 182 212 230	16151236098
SPT(14)	382265081209039321	0 10 42 88 108 112 130 150 168 172 192 238 270 280	34607958200
SPT(14)	382265105572846813	0 76 84 114 120 204 226 258 280 364 370 400 408 484	58971765692