Prime p₀= 783913289588966177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 4 2 22 2 58 2 46 2 (?)
a_n: 0 2 12 14 84 86 90 92 114 116 174 176 222 224
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: 224
Found by: [SG]FX
db: batch=73, k=14, 10 70 4 22 58 46

SPT(16)	783911783114894503	0 6 10 46 70 84 94 108 136 150 160 174 198 234 238 244	-1506474071674
SPT(16)	783912560559243389	0 44 68 72 98 114 138 158 204 224 248 264 290 294 318 362	-729029722788
SPT(16)	783912678127758197	0 14 32 42 84 110 132 144 302 314 336 362 404 414 432 446	-611461207980
SPT(16)	783912682770775933	0 30 60 64 118 138 196 198 256 258 316 336 390 394 424 454	-606818190244
SPT(16)	783912707265703481	0 26 56 78 90 92 138 146 372 380 426 428 440 462 492 518	-582323262696
STPT(10)	783913006034727377	0 2 12 14 42 44 72 74 84 86	-283554238800
SPT(16)	783913320204344573	0 20 26 38 60 68 140 168 206 234 306 314 336 348 354 374	30615378396
SPT(16)	783913777381241009	0 18 20 32 44 54 84 104 138 158 188 198 210 222 224 242	487792274832
SPT(16)	783914062181226731	0 2 20 30 42 60 86 102 110 126 152 170 182 192 210 212	772592260554
SPT(16)	783914266639159079	0 12 68 78 128 140 158 204 218 264 282 294 344 354 410 422	977050192902
STPT(10)	783914576342558369	0 2 42 44 60 62 78 80 120 122	1286753592192