Prime p₀= 979067399990101337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 82 2 34 2 40 2 58 2 70 2 (?)
a_n: 0 2 60 62 144 146 180 182 222 224 282 284 354 356
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: 356
Found by: Theadalus
db: batch=76, k=14, 58 82 34 40 58 70

SPT(16)	979066649691487697	0 32 86 96 126 134 152 170 186 204 222 230 260 270 324 356	-750298613640
STPT(10)	979066699417878959	0 2 18 20 30 32 42 44 60 62	-700572222378
STPT(10)	979066746522463127	0 2 42 44 72 74 102 104 144 146	-653467638210
SPT(16)	979066857984181711	0 12 40 42 112 148 150 160 198 208 210 246 316 318 346 358	-542005919626
SPT(16)	979067019333665741	0 48 62 90 96 128 140 146 162 168 180 212 218 246 260 308	-380656435596
SPT(16)	979067019516648347	0 24 74 116 186 200 246 264 272 290 336 350 420 462 512 536	-380473452990
SPT(16)	979067404468252823	0 6 8 20 36 38 110 128 258 276 348 350 366 378 380 386	4478151486
SPT(16)	979067549546525687	0 62 72 80 132 140 152 156 206 210 222 230 282 290 300 362	149556424350
SPT(16)	979067596513550437	0 12 22 36 66 82 102 106 126 130 150 166 196 210 220 232	196523449100
SPT(16)	979068084250818017	0 42 92 96 102 110 120 164 222 266 276 284 290 294 344 386	684260716680
SPT(16)	979068232615877783	0 14 18 78 86 98 158 164 240 246 306 318 326 386 390 404	832625776446