Prime p₀= 913095888311637971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 46 2 178 2 10 2 40 2 88 2 (?)
a_n: 0 2 48 50 96 98 276 278 288 290 330 332 420 422
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: 422
Found by: Theadalus
db: batch=76, k=14, 46 46 178 10 40 88

SPT(16)	913094066077736657	0 20 56 90 116 182 210 230 246 266 294 360 386 420 456 476	-1822233901314
SPT(16)	913094710738060121	0 42 50 60 62 116 162 168 200 206 252 306 308 318 326 368	-1177573577850
STPT(10)	913094774923828967	0 2 30 32 42 44 54 56 84 86	-1113387809004
STPT(12)	913094988680665319	0 2 12 14 18 20 42 44 48 50 60 62	-899630972652
SPT(16)	913095472711677119	0 2 14 42 72 90 120 128 144 152 182 200 230 258 270 272	-415599960852
STPT(10)	913095614905418627	0 2 42 44 72 74 102 104 144 146	-273406219344
TPT(14)	913095967395623591	0 2 60 62 150 152 186 188 228 230 240 242 360 362	79083985620
STPT(10)	913096180771882871	0 2 30 32 78 80 126 128 156 158	292460244900
TPT(14)	913096264212734057	0 2 24 26 54 56 84 86 150 152 234 236 264 266	375901096086
SPT(16)	913096556061347491	0 12 40 70 88 108 130 138 142 150 172 192 210 240 268 280	667749709520
SPT(16)	913096625901631909	0 24 82 90 112 162 178 220 222 264 280 330 352 360 418 442	737589993938