Prime p₀= 3833911471073299529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 34 2 28 2 52 2 166 2 (?)
a_n: 0 2 90 92 102 104 138 140 168 170 222 224 390 392
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: 392
Found by: SEARCHER
db: batch=84, k=14, 88 10 34 28 52 166

TPT(14)	3833910915317421899	0 2 42 44 48 50 120 122 132 134 210 212 228 230	-555755877630
TPT(14)	3833910953233099091	0 2 78 80 138 140 168 170 210 212 306 308 390 392	-517840200438
STPT(10)	3833911034309786957	0 2 90 92 102 104 114 116 204 206	-436763512572
TPT(14)	3833911224517760777	0 2 24 26 72 74 84 86 150 152 240 242 252 254	-246555538752
SPT(16)	3833911302469420373	0 6 48 50 78 80 84 126 188 230 234 236 264 266 308 314	-168603879156
STPT(10)	3833911378680165269	0 2 12 14 90 92 168 170 180 182	-92393134260
SPT(16)	3833911704917540101	0 58 66 70 78 102 108 136 162 190 196 220 228 232 240 298	233844240572
TPT(14)	3833911786511590559	0 2 12 14 42 44 150 152 222 224 228 230 240 242	315438291030
SPT(16)	3833912306259680237	0 20 50 54 60 104 110 162 242 294 300 344 350 354 384 404	835186380708
SPT(16)	3833912338643432957	0 42 80 86 114 162 164 176 360 372 374 422 450 456 494 536	867570133428
STPT(10)	3833912540117832881	0 2 36 38 78 80 120 122 156 158	1069044533352