Prime p₀= 2285398042717147427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 106 2 40 2 4 2 (?)
a_n: 0 2 12 14 24 26 84 86 192 194 234 236 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=14, 10 10 58 106 40 4

SPT(16)	2285397166077204149	0 20 24 48 80 152 168 242 300 374 390 462 494 518 522 542	-876639943278
STPT(10)	2285397196578420011	0 2 6 8 48 50 90 92 96 98	-846138727416
TPT(14)	2285397353310318809	0 2 48 50 90 92 168 170 240 242 258 260 342 344	-689406828618
STPT(10)	2285397673833276419	0 2 18 20 30 32 42 44 60 62	-368883871008
STPT(10)	2285397717602605421	0 2 6 8 48 50 90 92 96 98	-325114542006
SPT(16)	2285397938045068351	0 22 66 72 126 130 142 190 192 240 252 256 310 316 360 382	-104672079076
STPT(10)	2285398199393630987	0 2 30 32 42 44 54 56 84 86	156676483560
STPT(10)	2285398219022812721	0 2 36 38 78 80 120 122 156 158	176305665294
STPT(10)	2285398352222931401	0 2 30 32 78 80 126 128 156 158	309505783974
STPT(10)	2285398359695972531	0 2 6 8 48 50 90 92 96 98	316978825104
SPT(16)	2285398655327627461	0 6 52 76 88 102 112 180 208 276 286 300 312 336 382 388	612610480034