Prime p₀= 996836241589173131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 88 2 76 2 88 2 40 2 46 2 (?)
a_n: 0 2 18 20 108 110 186 188 276 278 318 320 366 368
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: 368
Found by: Spectrum
db: batch=76, k=14, 16 88 76 88 40 46

SPT(16)	996835401959265793	0 28 78 88 96 108 144 166 168 190 226 238 246 256 306 334	-839629907338
STPT(10)	996835415880084587	0 2 42 44 72 74 102 104 144 146	-825709088544
SPT(16)	996835809639337061	0 36 92 108 186 210 212 218 240 246 248 272 350 366 422 458	-431949836070
STPT(10)	996835866851376437	0 2 12 14 72 74 132 134 144 146	-374737796694
STPT(10)	996836011526014139	0 2 18 20 30 32 42 44 60 62	-230063158992
SPT(16)	996836114468703227	0 116 132 144 192 264 272 284 462 474 482 554 602 614 630 746	-127120469904
STPT(10)	996836524845159137	0 2 12 14 42 44 72 74 84 86	283255986006
STPT(10)	996836782695582677	0 2 30 32 60 62 90 92 120 122	541106409546
SPT(16)	996837026276103461	0 8 26 38 56 78 96 116 120 140 158 180 198 210 228 236	784686930330
SPT(16)	996837245598170321	0 30 42 56 72 78 92 116 132 156 170 176 192 206 218 248	1004008997190
STPT(10)	996837388292665889	0 2 12 14 30 32 48 50 60 62	1146703492758