Prime p₀= 2394556138778322989 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 106 2 88 2 46 2 238 2 58 2 (?)
a_n: 0 2 42 44 150 152 240 242 288 290 528 530 588 590
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: 590
Found by: Landjunge
db: batch=81, k=14, 40 106 88 46 238 58

SPT(16)	2394554720981149471	0 42 66 138 156 180 196 198 220 222 238 262 280 352 376 418	-1417797173518
SPT(16)	2394555619516254319	0 30 34 52 90 94 108 124 168 184 198 202 240 258 262 292	-519262068670
STPT(10)	2394555640927156979	0 2 18 20 30 32 42 44 60 62	-497851166010
STPT(10)	2394555705885171677	0 2 30 32 60 62 90 92 120 122	-432893151312
SPT(16)	2394555773204824499	0 2 32 44 50 54 78 134 138 194 218 222 228 240 270 272	-365573498490
SPT(16)	2394555976888686367	0 16 30 64 66 96 100 106 144 150 154 184 186 220 234 250	-161889636622
SPT(16)	2394556893032991481	0 12 58 60 78 112 120 126 142 148 156 190 208 210 256 268	754254668492
STPT(10)	2394556913657699801	0 2 36 38 108 110 180 182 216 218	774879376812
SPT(16)	2394556990865950811	0 26 182 206 222 272 290 336 416 462 480 530 546 570 726 752	852087627822
STPT(10)	2394556992438661049	0 2 18 20 30 32 42 44 60 62	853660338060
SPT(16)	2394557357878864697	0 32 56 72 134 164 186 204 242 260 282 312 374 390 414 446	1219100541708