Prime p₀= 1044655470160405319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 4 2 58 2 40 2 16 2 (?)
a_n: 0 2 72 74 102 104 108 110 168 170 210 212 228 230
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: 230
Found by: stoneageman
db: batch=76, k=14, 70 28 4 58 40 16

SPT(16)	1044654873912554131	0 42 58 82 90 142 156 192 226 262 276 328 336 360 376 418	-596247851188
SPT(16)	1044654910574782321	0 36 48 66 70 72 106 112 156 162 196 198 202 220 232 268	-559585622998
SPT(16)	1044655001129194237	0 12 16 72 82 84 172 214 222 264 352 354 364 420 424 436	-469031211082
STPT(10)	1044655140289022147	0 2 54 56 72 74 90 92 144 146	-329871383172
SPT(16)	1044655175795567939	0 14 44 54 108 150 170 180 182 192 212 254 308 318 348 362	-294364837380
STPT(10)	1044655341425593367	0 2 30 32 42 44 54 56 84 86	-128734811952
SPT(16)	1044655773145036937	0 42 56 84 134 150 152 174 212 234 236 252 302 330 344 386	302984631618
SPT(16)	1044656052373433173	0 4 6 46 48 66 84 90 154 160 178 196 198 238 240 244	582213027854
SPT(16)	1044656405675170051	0 10 102 136 150 162 196 208 210 222 256 268 282 316 408 418	935514764732
SPT(16)	1044656434347651701	0 20 32 60 78 80 98 140 210 252 270 272 290 318 330 350	964187246382
SPT(16)	1044657344325075157	0 22 40 42 46 144 150 154 162 166 172 270 274 276 294 316	1874164669838