Prime p₀= 1081036832634749717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 76 2 10 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 180 182 192 194 234 236
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: 236
Found by: Theadalus
db: batch=76, k=14, 40 16 40 76 10 40

TPT(16)	1081035342889654259	0 2 42 44 72 74 90 92 120 122 228 230 252 254 288 290	-1489745095458
SPT(16)	1081035563591817721	0 6 12 30 46 70 76 112 186 222 228 252 268 286 292 298	-1269042931996
SPT(16)	1081035735458491849	0 10 28 54 82 84 142 144 148 150 208 210 238 264 282 292	-1097176257868
SPT(16)	1081035902166453143	0 8 60 84 110 114 120 128 276 284 290 294 320 344 396 404	-930468296574
STPT(10)	1081036054145778527	0 2 30 32 42 44 54 56 84 86	-778488971190
SPT(16)	1081036110083170693	0 30 36 46 60 70 78 88 96 106 114 124 138 148 154 184	-722551579024
SPT(16)	1081036978819582501	0 12 48 66 96 112 178 198 370 390 456 472 502 520 556 568	146184832784
SPT(16)	1081037366467988707	0 10 12 24 30 70 72 82 84 94 96 136 142 154 156 166	533833238990
SPT(16)	1081037441380111871	0 8 32 42 50 138 152 182 186 216 230 318 326 336 360 368	608745362154
SPT(16)	1081037560635481511	0 18 30 66 86 96 110 138 200 228 242 252 272 308 320 338	728000731794
TPT(14)	1081037720475525077	0 2 72 74 144 146 234 236 270 272 282 284 402 404	887840775360