Prime p₀= 975997484895660389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 178 2 16 2 106 2 10 2 16 2 (?)
a_n: 0 2 42 44 222 224 240 242 348 350 360 362 378 380
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: 380
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 40 178 16 106 10 16

SPT(16)	975995537519310367	0 12 142 156 160 180 196 202 204 210 226 246 250 264 394 406	-1947376350022
SPT(16)	975995724226181221	0 40 58 70 78 90 96 106 210 220 226 238 246 258 276 316	-1760669479168
SPT(16)	975996090743852939	0 132 134 164 234 242 248 270 392 414 420 428 498 528 530 662	-1394151807450
SPT(16)	975996422339984659	0 22 70 78 130 144 154 180 202 228 238 252 304 312 360 382	-1062555675730
SPT(16)	975997301524430579	0 38 92 120 270 378 384 480 482 578 584 692 842 870 924 962	-183371229810
STPT(10)	975997338454836947	0 2 12 14 42 44 72 74 84 86	-146440823442
STPT(10)	975998132527219127	0 2 60 62 72 74 84 86 144 146	647631558738
SPT(16)	975998185043199823	0 60 124 130 148 156 186 196 198 208 238 246 264 270 334 394	700147539434
TPT(14)	975998249902518077	0 2 30 32 42 44 54 56 72 74 144 146 174 176	765006857688
SPT(16)	975998666798435587	0 52 60 136 150 160 180 192 280 292 312 322 336 412 420 472	1181902775198
SPT(16)	975998695753580417	0 2 32 36 72 80 92 150 182 240 252 260 296 300 330 332	1210857920028