Prime p₀= 1427337685693806587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 42 44 54 56 114 116 120 122 180 182 192 194
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: 194
Found by: bfromcolo
db: batch=78, k=14, 40 10 58 4 58 10

STPT(10)	1427336207805293879	0 2 18 20 30 32 42 44 60 62	-1477888512708
STPT(10)	1427336209115986859	0 2 18 20 30 32 42 44 60 62	-1476577819728
STPT(10)	1427336493444250391	0 2 30 32 60 62 90 92 120 122	-1192249556196
SPT(16)	1427336919283794061	0 6 48 72 96 112 202 208 240 246 336 352 376 400 442 448	-766410012526
SPT(16)	1427336961129280427	0 20 30 36 44 72 114 146 150 182 224 252 260 266 276 296	-724564526160
STPT(10)	1427337181942236581	0 2 30 32 78 80 126 128 156 158	-503751570006
STPT(12)	1427337685693806629	0 2 12 14 72 74 78 80 138 140 150 152	42
STPT(10)	1427337720653597939	0 2 18 20 30 32 42 44 60 62	34959791352
SPT(16)	1427337970929866221	0 30 46 48 70 90 118 156 232 270 298 318 340 342 358 388	285236059634
SPT(16)	1427338435571089739	0 48 62 122 140 144 150 158 294 302 308 312 330 390 404 452	749877283152
STPT(10)	1427338521248820281	0 2 6 8 48 50 90 92 96 98	835555013694