Prime p₀= 972863116047081899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 40 2 58 2 34 2 40 2 (?)
a_n: 0 2 90 92 120 122 162 164 222 224 258 260 300 302
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: 302
Found by: Spectrum
db: batch=76, k=14, 88 28 40 58 34 40

SPT(16)	972861781503816889	0 34 88 94 102 144 150 270 292 412 418 460 468 474 528 562	-1334543265010
STPT(10)	972862309100654627	0 2 30 32 72 74 114 116 144 146	-806946427272
STPT(10)	972862406032387859	0 2 18 20 30 32 42 44 60 62	-710014694040
SPT(16)	972862761273091921	0 40 58 60 66 70 72 112 126 166 168 172 178 180 198 238	-354773989978
TPT(14)	972862967645148917	0 2 84 86 162 164 210 212 282 284 450 452 462 464	-148401932982
SPT(16)	972863033534639311	0 28 42 60 106 108 130 148 210 228 250 252 298 316 330 358	-82512442588
SPT(16)	972863191930318903	0 30 36 60 76 90 120 130 144 154 184 198 214 238 244 274	75883237004
STPT(10)	972863270392037987	0 2 30 32 42 44 54 56 84 86	154344956088
STPT(10)	972863276624204261	0 2 6 8 18 20 30 32 36 38	160577122362
SPT(20)	972863405616776129	0 2 8 44 54 74 78 150 162 170 192 200 212 284 288 308 318 354 360 362	289569694230
STPT(10)	972863414128075451	0 2 36 38 78 80 120 122 156 158	298080993552