Prime p₀= 3833913047841668189 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 58 2 88 2 70 2 58 2 (?)
a_n: 0 2 60 62 168 170 228 230 318 320 390 392 450 452
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: 452
Found by: SEARCHER
db: batch=84, k=14, 58 106 58 88 70 58

TPT(14)	3833911471073299529	0 2 90 92 102 104 138 140 168 170 222 224 390 392	-1576768368660
SPT(16)	3833911704917540101	0 58 66 70 78 102 108 136 162 190 196 220 228 232 240 298	-1342924128088
TPT(14)	3833911786511590559	0 2 12 14 42 44 150 152 222 224 228 230 240 242	-1261330077630
SPT(16)	3833912306259680237	0 20 50 54 60 104 110 162 242 294 300 344 350 354 384 404	-741581987952
SPT(16)	3833912338643432957	0 42 80 86 114 162 164 176 360 372 374 422 450 456 494 536	-709198235232
STPT(10)	3833912540117832881	0 2 36 38 78 80 120 122 156 158	-507723835308
STPT(10)	3833913105477212081	0 2 30 32 78 80 126 128 156 158	57635543892
SPT(16)	3833913302588855207	0 24 30 80 122 134 152 200 204 252 270 282 324 374 380 404	254747187018
SPT(16)	3833913489049710491	0 6 36 50 188 216 228 330 416 518 530 558 696 710 740 746	441208042302
SPT(16)	3833913577059928309	0 24 54 94 112 114 142 150 154 162 190 192 210 250 280 304	529218260120
STPT(10)	3833913688943771687	0 2 60 62 102 104 144 146 204 206	641102103498