Prime p₀= 788937643181581427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 10 2 28 2 28 2 76 2 46 2 (?)
a_n: 0 2 132 134 144 146 174 176 204 206 282 284 330 332
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: 332
Found by: [SG]FX
db: batch=73, k=14, 130 10 28 28 76 46

TPT(14)	788936445441742319	0 2 12 14 72 74 78 80 120 122 192 194 402 404	-1197739839108
SPT(16)	788936515240543441	0 10 88 90 106 118 136 156 232 252 270 282 298 300 378 388	-1127941037986
SPT(16)	788936699309992063	0 28 48 88 130 136 138 150 154 166 168 174 216 256 276 304	-943871589364
SPT(16)	788937038802957071	0 18 32 56 102 110 128 158 180 210 228 236 282 306 320 338	-604378624356
SPT(16)	788937214219615319	0 8 42 60 68 102 108 110 132 134 140 174 182 200 234 242	-428961966108
STPT(10)	788937530733770027	0 2 30 32 42 44 54 56 84 86	-112447811400
SPT(16)	788937678836724959	0 20 68 104 114 120 122 138 164 180 182 188 198 234 282 302	35655143532
SPT(16)	788937859871758703	0 8 36 54 56 78 110 200 204 294 326 348 350 368 396 404	216690177276
SPT(16)	788938720496631701	0 2 12 36 42 72 80 96 122 138 146 176 182 206 216 218	1077315050274
SPT(16)	788938831300213393	0 18 24 46 78 88 94 148 156 210 216 226 258 280 286 304	1188118631966
SPT(16)	788938908705060017	0 2 6 20 36 42 92 134 282 324 374 380 396 410 414 416	1265523478590