Prime p₀= 1919669049563255531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 58 2 28 2 106 2 28 2 (?)
a_n: 0 2 78 80 168 170 228 230 258 260 366 368 396 398
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: 398
Found by: Landjunge
db: batch=80, k=14, 76 88 58 28 106 28

SPT(16)	1919667592166765543	0 20 48 78 86 110 120 128 138 146 156 180 188 218 246 266	-1457396489988
SPT(16)	1919667626140768951	0 46 88 90 108 150 196 228 250 282 328 370 388 390 432 478	-1423422486580
SPT(16)	1919668037231599111	0 66 88 90 108 120 136 186 220 270 286 298 316 318 340 406	-1012331656420
SPT(16)	1919668482198500923	0 10 16 30 36 88 108 126 130 148 168 220 226 240 246 256	-567364754608
SPT(16)	1919668849685430989	0 48 60 74 78 92 104 110 132 138 150 164 168 182 194 242	-199877824542
SPT(16)	1919668985695315531	0 46 76 96 118 130 202 208 210 216 288 300 322 342 372 418	-63867940000
SPT(16)	1919669119387090399	0 48 54 82 84 100 144 168 214 238 282 298 300 328 334 382	69823834868
SPT(16)	1919669278170391637	0 2 14 30 36 50 74 110 186 222 246 260 266 282 294 296	228607136106
SPT(16)	1919669956022183653	0 18 30 36 46 66 100 106 150 156 190 210 220 226 238 256	906458928122
STPT(10)	1919669986528139141	0 2 6 8 18 20 30 32 36 38	936964883610
TPT(14)	1919670099609927317	0 2 30 32 42 44 132 134 144 146 210 212 342 344	1050046671786