Prime p₀= 2011706015361518627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 136 2 22 2 28 2 58 2 (?)
a_n: 0 2 60 62 132 134 270 272 294 296 324 326 384 386
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: 386
Found by: matsu_pl
db: batch=80, k=14, 58 70 136 22 28 58

SPT(16)	2011705147481138969	0 32 72 84 114 170 194 200 294 300 324 380 410 422 462 494	-867880379658
STPT(10)	2011705288065755879	0 2 42 44 60 62 78 80 120 122	-727295762748
SPT(16)	2011705333779625219	0 10 22 24 40 124 162 220 222 280 318 402 418 420 432 442	-681581893408
SPT(16)	2011705436821962449	0 38 50 80 120 242 252 260 270 278 288 410 450 480 492 530	-578539556178
TPT(14)	2011705445272862231	0 2 48 50 126 128 138 140 168 170 180 182 258 260	-570088656396
STPT(12)	2011705445272862279	0 2 78 80 90 92 120 122 132 134 210 212	-570088656348
SPT(16)	2011706373793686071	0 6 12 38 56 66 80 98 150 168 182 192 210 236 242 248	358432167444
SPT(16)	2011707012357036389	0 30 38 44 54 62 98 120 182 204 240 248 258 264 272 302	996995517762
STPT(10)	2011707025740542771	0 2 180 182 210 212 240 242 420 422	1010379024144
STPT(10)	2011707432149726951	0 2 6 8 48 50 90 92 96 98	1416788208324
SPT(16)	2011707621485202233	0 38 50 60 80 98 104 134 150 180 186 204 224 234 246 284	1606123683606