Prime p₀= 2860392869021041589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 124 2 28 2 22 2 (?)
a_n: 0 2 30 32 48 50 72 74 198 200 228 230 252 254
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: 254
Found by: Landjunge
db: batch=82, k=14, 28 16 22 124 28 22

STPT(10)	2860390474492632449	0 2 18 20 30 32 42 44 60 62	-2394528409140
SPT(16)	2860390758277851509	0 12 20 44 50 62 72 84 98 110 120 132 138 162 170 182	-2110743190080
SPT(16)	2860391161644655559	0 8 32 44 72 84 114 128 174 188 218 230 258 270 294 302	-1707376386030
STPT(10)	2860391327997451067	0 2 30 32 42 44 54 56 84 86	-1541023590522
SPT(16)	2860392392213427661	0 58 78 106 108 132 150 160 228 238 256 280 282 310 330 388	-476807613928
SPT(16)	2860392605898575663	0 18 26 110 144 146 168 216 248 296 318 320 354 438 446 464	-263122465926
SPT(16)	2860392938994850213	0 10 28 36 70 94 120 138 166 184 210 234 268 276 294 304	69973808624
STPT(10)	2860393053821694371	0 2 36 38 78 80 120 122 156 158	184800652782
STPT(10)	2860393273429940777	0 2 42 44 72 74 102 104 144 146	404408899188
SPT(16)	2860393319176934753	0 36 90 116 158 176 188 210 224 246 258 276 318 344 398 434	450155893164
STPT(10)	2860393421545487159	0 2 48 50 90 92 132 134 180 182	552524445570