Prime p₀= 3031507450777865987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 76 2 40 2 16 2 70 2 10 2 (?)
a_n: 0 2 132 134 210 212 252 254 270 272 342 344 354 356
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 356
Found by: [SG-FC] hl
db: batch=82, k=14, 130 76 40 16 70 10

STPT(10)	3031506224471715959	0 2 90 92 150 152 210 212 300 302	-1226306150028
SPT(16)	3031506249902597147	0 24 50 62 72 74 114 162 212 260 300 302 312 324 350 374	-1200875268840
SPT(18)	3031506956182699711	0 10 16 70 216 220 246 268 280 288 300 322 348 352 498 552 558 568	-494595166276
SPT(16)	3031507336456342243	0 24 40 66 76 78 100 108 166 174 196 198 208 234 250 274	-114321523744
SPT(16)	3031507368430498231	0 82 96 106 130 156 180 190 228 238 262 288 312 322 336 418	-82347367756
SPT(16)	3031507440506752457	0 6 24 84 90 104 120 144 182 206 222 236 242 302 320 326	-10271113530
STPT(10)	3031507555246421807	0 2 90 92 132 134 174 176 264 266	104468555820
TPT(14)	3031508459471212547	0 2 54 56 72 74 162 164 192 194 210 212 222 224	1008693346560
STPT(10)	3031509259381884311	0 2 30 32 60 62 90 92 120 122	1808604018324
STPT(10)	3031509393150353387	0 2 30 32 42 44 54 56 84 86	1942372487400
SPT(16)	3031509467181445357	0 70 90 106 112 226 276 280 282 286 336 450 456 472 492 562	2016403579370