Prime p₀= 231707338655252261 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 166 2 40 2 4 2 (?)
a_n: 0 2 60 62 90 92 258 260 300 302 306 308
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: 308
Found by: gaballus
db: batch=69, k=12, 58 28 166 40 4

SPT(14)	231707245820400991	0 28 40 60 120 156 160 168 172 208 268 288 300 328	-92834851270
TPT(12)	231707260995347957	0 2 54 56 72 74 120 122 150 152 210 212	-77659904304
TPT(12)	231707262991225037	0 2 30 32 42 44 84 86 132 134 162 164	-75664027224
SPT(14)	231707284839873067	0 10 12 24 40 54 82 114 142 156 172 184 186 196	-53815379194
SPT(14)	231707314322674843	0 70 76 90 148 154 268 336 450 456 514 528 534 604	-24332577418
SPT(14)	231707332410483947	0 12 14 20 56 110 140 216 246 300 336 342 344 356	-6244768314
SPT(14)	231707365466443121	0 26 36 62 110 120 138 170 188 198 246 272 282 308	26811190860
SPT(14)	231707395383227059	0 22 28 58 72 88 112 150 174 190 204 234 240 262	56727974798
TPT(12)	231707409953351027	0 2 42 44 90 92 210 212 222 224 252 254	71298098766
SPT(14)	231707421873215801	0 36 42 50 66 90 140 168 218 242 258 266 272 308	83217963540
SPT(14)	231707434713192479	0 20 62 90 108 132 138 152 158 182 200 228 270 290	96057940218