Prime p₀= 1081037720475525077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 70 2 88 2 34 2 10 2 118 2 (?)
a_n: 0 2 72 74 144 146 234 236 270 272 282 284 402 404
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: 404
Found by: Theadalus
db: batch=76, k=14, 70 70 88 34 10 118

SPT(16)	1081036110083170693	0 30 36 46 60 70 78 88 96 106 114 124 138 148 154 184	-1610392354384
TPT(14)	1081036832634749717	0 2 42 44 60 62 102 104 180 182 192 194 234 236	-887840775360
SPT(16)	1081036978819582501	0 12 48 66 96 112 178 198 370 390 456 472 502 520 556 568	-741655942576
SPT(16)	1081037366467988707	0 10 12 24 30 70 72 82 84 94 96 136 142 154 156 166	-354007536370
SPT(16)	1081037441380111871	0 8 32 42 50 138 152 182 186 216 230 318 326 336 360 368	-279095413206
SPT(16)	1081037560635481511	0 18 30 66 86 96 110 138 200 228 242 252 272 308 320 338	-159840043566
STPT(10)	1081037777161420577	0 2 30 32 72 74 114 116 144 146	56685895500
STPT(10)	1081038314262529409	0 2 42 44 90 92 138 140 180 182	593787004332
STPT(10)	1081038646686791657	0 2 42 44 72 74 102 104 144 146	926211266580
SPT(16)	1081038966784490617	0 30 36 82 112 124 154 166 210 222 252 264 294 340 346 376	1246308965540
SPT(16)	1081038968303206061	0 32 42 80 86 116 120 168 290 338 342 372 378 416 426 458	1247827680984