Prime p₀= 747097221954246419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 130 2 28 2 4 2 22 2 124 2 (?)
a_n: 0 2 90 92 222 224 252 254 258 260 282 284 408 410
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: 410
Found by: Theadalus
db: batch=73, k=14, 88 130 28 4 22 124

SPT(16)	747095884771954447	0 6 22 34 90 112 120 136 210 226 234 256 312 324 340 346	-1337182291972
SPT(16)	747095952975597013	0 70 106 120 150 174 180 204 220 244 250 274 304 318 354 424	-1268978649406
STPT(10)	747096289977341957	0 2 30 32 102 104 174 176 204 206	-931976904462
STPT(10)	747096316173645377	0 2 30 32 60 62 90 92 120 122	-905780601042
STPT(10)	747096594941411327	0 2 30 32 42 44 54 56 84 86	-627012835092
SPT(16)	747097017919192141	0 22 28 42 102 106 126 132 166 172 192 196 256 270 276 298	-204035054278
STPT(10)	747097467437582057	0 2 30 32 42 44 54 56 84 86	245483335638
SPT(16)	747098410107718073	0 14 20 38 44 84 140 144 170 174 230 270 276 294 300 314	1188153471654
STPT(10)	747098643625864181	0 2 36 38 78 80 120 122 156 158	1421671617762
STPT(10)	747098704595803559	0 2 18 20 30 32 42 44 60 62	1482641557140
SPT(16)	747098774582368499	0 2 14 44 90 92 110 168 224 282 300 302 348 378 390 392	1552628122080