Prime p₀= 1178399093324968649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 4 2 82 2 124 2 22 2 (?)
a_n: 0 2 78 80 162 164 168 170 252 254 378 380 402 404
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=77, k=14, 76 82 4 82 124 22

TPT(14)	1178397624082079507	0 2 30 32 42 44 72 74 210 212 252 254 294 296	-1469242889142
SPT(16)	1178397682150277257	0 22 30 70 76 96 102 142 144 184 190 210 216 256 264 286	-1411174691392
SPT(16)	1178397786440015287	0 82 94 150 210 220 282 304 312 334 396 406 466 522 534 616	-1306884953362
SPT(16)	1178397997284955813	0 4 48 58 64 90 108 126 178 196 214 240 246 256 300 304	-1096040012836
STPT(10)	1178398214471451947	0 2 30 32 42 44 54 56 84 86	-878853516702
SPT(16)	1178398878813836639	0 12 14 78 108 120 134 152 180 198 212 224 254 318 320 332	-214511132010
STPT(10)	1178399130480812489	0 2 18 20 30 32 42 44 60 62	37155843840
STPT(10)	1178399170218880397	0 2 60 62 72 74 84 86 144 146	76893911748
STPT(10)	1178399392965027377	0 2 42 44 72 74 102 104 144 146	299640058728
SPT(16)	1178399835885376691	0 26 60 98 108 110 138 140 156 158 186 188 198 236 270 296	742560408042
SPT(16)	1178400021281321947	0 10 16 30 64 72 76 106 120 150 154 162 196 210 216 226	927956353298