Prime p₀= 1937053989714096401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 28 2 10 2 10 2 4 2 (?)
a_n: 0 2 36 38 66 68 96 98 108 110 120 122 126 128
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: 128
Found by: kashi
db: batch=80, k=14, 34 28 28 10 10 4

SPT(16)	1937052587022732587	0 2 14 24 44 66 74 102 254 282 290 312 332 342 354 356	-1402691363814
STPT(10)	1937052797181296747	0 2 30 32 42 44 54 56 84 86	-1192532799654
SPT(16)	1937052919573216477	0 6 40 60 90 130 180 186 190 196 246 286 316 336 370 376	-1070140879924
TPT(14)	1937052967286499707	0 2 30 32 54 56 162 164 390 392 402 404 414 416	-1022427596694
SPT(16)	1937053273005189337	0 40 52 60 64 70 82 84 172 174 186 192 196 204 216 256	-716708907064
SPT(16)	1937053860880732777	0 22 30 42 72 102 106 172 210 276 280 310 340 352 360 382	-128833363624
STPT(12)	1937054262975902699	0 2 12 14 30 32 180 182 198 200 210 212	273261806298
STPT(10)	1937054572793991527	0 2 30 32 60 62 90 92 120 122	583079895126
STPT(10)	1937054878042147811	0 2 96 98 138 140 180 182 276 278	888328051410
SPT(16)	1937055177387779249	0 48 92 132 138 168 180 188 204 212 224 254 260 300 344 392	1187673682848
SPT(16)	1937055276292730603	0 74 84 150 204 210 218 228 230 240 248 254 308 374 384 458	1286578634202