Prime p₀= 977396305921582847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 82 2 34 2 250 2 16 2 70 2 (?)
a_n: 0 2 60 62 144 146 180 182 432 434 450 452 522 524
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: 524
Found by: stoneageman
db: batch=76, k=14, 58 82 34 250 16 70

SPT(16)	977395388529690847	0 16 52 82 84 90 100 156 220 276 286 292 294 324 360 376	-917391892000
SPT(16)	977395401031933943	0 24 38 80 96 98 126 198 206 278 306 308 324 366 380 404	-904889648904
SPT(16)	977395556253953671	0 18 30 48 58 60 66 72 106 112 118 120 130 148 160 178	-749667629176
SPT(16)	977395975385969471	0 8 62 78 92 98 126 132 176 182 210 216 230 246 300 308	-330535613376
SPT(16)	977396030828882923	0 10 30 48 60 90 100 154 174 228 238 268 280 298 318 328	-275092699924
STPT(10)	977396076321255707	0 2 30 32 42 44 54 56 84 86	-229600327140
TPT(14)	977396607261715997	0 2 24 26 30 32 42 44 54 56 144 146 234 236	301340133150
SPT(16)	977396642913685381	0 10 48 78 88 118 132 168 220 256 270 300 310 340 378 388	336992102534
STPT(10)	977396770491280751	0 2 78 80 108 110 138 140 216 218	464569697904
STPT(10)	977396783309806859	0 2 18 20 30 32 42 44 60 62	477388224012
STPT(10)	977397429832981511	0 2 6 8 48 50 90 92 96 98	1123911398664