Prime p₀= 1912773482321939597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 118 2 16 2 148 2 16 2 22 2 (?)
a_n: 0 2 84 86 204 206 222 224 372 374 390 392 414 416
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: 416
Found by: Landjunge
db: batch=80, k=14, 82 118 16 148 16 22

SPT(16)	1912772546443707353	0 18 30 44 60 80 104 116 138 150 174 194 210 224 236 254	-935878232244
SPT(16)	1912772561889988541	0 8 18 26 42 98 152 186 242 276 330 386 402 410 420 428	-920431951056
SPT(16)	1912772670142177709	0 38 50 92 134 152 224 270 392 438 510 528 570 612 624 662	-812179761888
STPT(10)	1912772830741950647	0 2 30 32 42 44 54 56 84 86	-651579988950
STPT(10)	1912773321324803417	0 2 30 32 42 44 54 56 84 86	-160997136180
TPT(14)	1912773411980568131	0 2 36 38 96 98 150 152 156 158 210 212 276 278	-70341371466
STPT(10)	1912773622732119137	0 2 42 44 72 74 102 104 144 146	140410179540
SPT(16)	1912774025286761491	0 10 18 46 52 72 78 112 186 220 226 246 252 280 288 298	542964821894
SPT(16)	1912774027055752279	0 18 24 30 34 48 70 72 130 132 154 168 172 178 184 202	544733812682
SPT(16)	1912774134281964979	0 4 60 64 82 114 132 142 312 322 340 372 390 394 450 454	651960025382
SPT(16)	1912774225028510873	0 8 66 78 80 84 98 200 204 306 320 324 326 338 396 404	742706571276