Prime p₀= 1156016660005055657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 10 2 34 2 58 2 40 2 (?)
a_n: 0 2 84 86 132 134 144 146 180 182 240 242 282 284
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: 284
Found by: UBT - Timbo
db: batch=77, k=14, 82 46 10 34 58 40

SPT(16)	1156014918178828537	0 42 46 82 90 96 144 186 190 232 280 286 294 330 334 376	-1741826227120
SPT(16)	1156015247838614953	0 10 34 70 96 150 154 166 168 180 184 238 264 300 324 334	-1412166440704
TPT(14)	1156015731837565307	0 2 90 92 132 134 144 146 252 254 282 284 294 296	-928167490350
SPT(16)	1156016584588103701	0 36 58 60 66 88 102 106 192 196 210 232 238 240 262 298	-75416951956
STPT(10)	1156016654580731129	0 2 18 20 30 32 42 44 60 62	-5424324528
SPT(16)	1156016656746462559	0 90 184 220 228 250 280 322 450 492 522 544 552 588 682 772	-3258593098
STPT(10)	1156016800315877957	0 2 30 32 72 74 114 116 144 146	140310822300
STPT(10)	1156016957171583779	0 2 18 20 30 32 42 44 60 62	297166528122
TPT(14)	1156017064992359627	0 2 12 14 54 56 204 206 210 212 222 224 264 266	404987303970
STPT(10)	1156017512459943179	0 2 48 50 90 92 132 134 180 182	852454887522
STPT(10)	1156017650394037271	0 2 36 38 78 80 120 122 156 158	990388981614