Prime p₀= 1910557597230087191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 76 2 172 2 58 2 16 2 (?)
a_n: 0 2 36 38 78 80 156 158 330 332 390 392 408 410
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: 410
Found by: Landjunge
db: batch=80, k=14, 34 40 76 172 58 16

STPT(10)	1910556603842255729	0 2 42 44 90 92 138 140 180 182	-993387831462
SPT(16)	1910556637747809529	0 34 78 84 100 112 142 228 244 330 360 372 388 394 438 472	-959482277662
STPT(10)	1910556778989041639	0 2 78 80 120 122 162 164 240 242	-818241045552
STPT(10)	1910556976490704181	0 2 6 8 48 50 90 92 96 98	-620739383010
SPT(16)	1910557225409219531	0 30 48 62 92 162 200 210 260 270 308 378 408 422 440 470	-371820867660
SPT(16)	1910557327657173317	0 30 114 134 152 156 192 204 212 224 260 264 282 302 386 416	-269572913874
STPT(10)	1910557614330936617	0 2 12 14 72 74 132 134 144 146	17100849426
SPT(16)	1910557709383096099	0 18 40 100 112 160 172 184 198 210 222 270 282 342 364 382	112153008908
SPT(16)	1910557851479771149	0 84 90 118 120 154 220 244 264 288 354 388 390 418 424 508	254249683958
STPT(10)	1910558017162082537	0 2 12 14 42 44 72 74 84 86	419931995346
TPT(14)	1910558080603819781	0 2 30 32 36 38 78 80 138 140 276 278 288 290	483373732590