Prime p₀= 2863400298450831911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 46 2 40 2 16 2 58 2 (?)
a_n: 0 2 36 38 78 80 126 128 168 170 186 188 246 248
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: 248
Found by: Landjunge
db: batch=82, k=14, 34 40 46 40 16 58

SPT(16)	2863398588031567403	0 38 80 90 114 158 186 188 276 278 306 350 374 384 426 464	-1710419264508
STPT(10)	2863398696100871189	0 2 48 50 60 62 72 74 120 122	-1602349960722
STPT(10)	2863399036643921981	0 2 6 8 18 20 30 32 36 38	-1261806909930
STPT(10)	2863399121650250537	0 2 12 14 72 74 132 134 144 146	-1176800581374
STPT(10)	2863399569184795811	0 2 30 32 78 80 126 128 156 158	-729266036100
SPT(16)	2863399592124177811	0 40 48 82 102 108 118 126 172 180 190 196 216 250 258 298	-706326654100
STPT(10)	2863401147125787407	0 2 12 14 42 44 72 74 84 86	848674955496
STPT(10)	2863401320450072951	0 2 6 8 48 50 90 92 96 98	1021999241040
SPT(16)	2863401880556186899	0 34 42 54 72 100 112 138 244 270 282 310 328 340 348 382	1582105354988
STPT(10)	2863401973691851211	0 2 6 8 48 50 90 92 96 98	1675241019300
STPT(10)	2863402202093053727	0 2 30 32 42 44 54 56 84 86	1903642221816