Prime p₀= 1907086519992180269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 70 2 76 2 28 2 10 2 (?)
a_n: 0 2 42 44 138 140 210 212 288 290 318 320 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 40 94 70 76 28 10

SPT(16)	1907085076901912617	0 30 34 112 120 132 156 162 244 250 274 286 294 372 376 406	-1443090267652
STPT(10)	1907085157837853177	0 2 30 32 60 62 90 92 120 122	-1362154327092
TPT(14)	1907085187582309529	0 2 60 62 132 134 198 200 312 314 342 344 378 380	-1332409870740
SPT(16)	1907085287274349961	0 8 18 30 72 78 98 122 168 192 212 218 260 272 282 290	-1232717830308
SPT(16)	1907085898737181291	0 22 42 48 76 78 90 112 216 238 250 252 280 286 306 328	-621254998978
SPT(16)	1907086048187569573	0 16 58 60 76 84 88 106 198 216 220 228 244 246 288 304	-471804610696
STPT(10)	1907086710827784191	0 2 66 68 138 140 210 212 276 278	190835603922
STPT(10)	1907086745734215047	0 2 30 32 60 62 90 92 120 122	225742034778
TPT(14)	1907086845092547617	0 2 30 32 42 44 72 74 90 92 120 122 144 146	325100367348
SPT(16)	1907086925160558277	0 36 52 66 126 132 196 210 232 246 310 316 376 390 406 442	405168378008
SPT(16)	1907087010139694543	0 14 80 86 108 114 116 146 168 198 200 206 228 234 300 314	490147514274