Prime p₀= 1147258010294376047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 160 2 16 2 58 2 22 2 94 2 (?)
a_n: 0 2 60 62 222 224 240 242 300 302 324 326 420 422
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: Alnitak2019
db: batch=76, k=14, 58 160 16 58 22 94

SPT(16)	1147256607449269777	0 64 70 96 102 124 204 210 256 262 342 364 370 396 402 466	-1402845106270
SPT(16)	1147256816818861751	0 48 92 150 168 170 210 228 230 248 288 290 308 366 410 458	-1193475514296
SPT(16)	1147257203490180373	0 10 66 70 78 100 108 126 148 166 174 196 204 208 264 274	-806804195674
STPT(10)	1147257245226603629	0 2 18 20 30 32 42 44 60 62	-765067772418
STPT(10)	1147257689934820337	0 2 30 32 42 44 54 56 84 86	-320359555710
STPT(10)	1147258004263075091	0 2 30 32 78 80 126 128 156 158	-6031300956
SPT(16)	1147258183500453391	0 6 12 30 48 90 100 156 202 258 268 310 328 346 352 358	173206077344
STPT(10)	1147258212764440331	0 2 36 38 78 80 120 122 156 158	202470064284
SPT(16)	1147258259894439709	0 4 24 30 48 78 84 90 172 178 184 214 232 238 258 262	249600063662
SPT(16)	1147258563808871729	0 8 14 20 24 78 98 108 134 144 164 218 222 228 234 242	553514495682
SPT(16)	1147258598841017101	0 6 112 126 132 186 190 196 312 318 322 376 382 396 502 508	588546641054