Prime p₀= 68179234477607597 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 70 2 124 2 22 2 28 2 (?)
a_n: 0 2 12 14 84 86 210 212 234 236 264 266
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: 266
Found by: scrap
db: batch=67, k=12, 10 70 124 22 28

SPT(16)	68179183826143043	0 14 68 98 108 128 150 170 174 194 216 236 246 276 330 344	-50651464554
SPT(14)	68179195379211979	0 54 88 90 154 174 228 244 298 318 382 384 418 472	-39098395618
SPT(14)	68179196577620741	0 6 12 42 56 62 90 92 120 126 140 170 176 182	-37899986856
TPT(12)	68179196778579527	0 2 90 92 144 146 210 212 312 314 324 326	-37699028070
SPT(14)	68179201210323761	0 12 32 42 60 96 122 180 206 242 260 270 290 302	-33267283836
SPT(14)	68179202957628649	0 24 28 34 40 78 82 90 94 132 138 144 148 172	-31519978948
SPT(14)	68179238490821779	0 18 28 48 54 60 84 88 112 118 124 144 154 172	4013214182
SPT(14)	68179239185088539	0 50 62 98 120 140 158 204 222 242 264 300 312 362	4707480942
SPT(14)	68179257947347661	0 8 48 72 86 92 116 132 156 162 176 200 240 248	23469740064
SPT(14)	68179258783244519	0 8 42 54 180 198 204 218 224 242 368 380 414 422	24305636922
SPT(14)	68179260941854747	0 34 42 76 100 102 114 142 154 156 180 214 222 256	26464247150