Prime p₀= 2743685987145330581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 10 2 46 2 136 2 10 2 (?)
a_n: 0 2 126 128 168 170 180 182 228 230 366 368 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 124 40 10 46 136 10

SPT(16)	2743683811093329127	0 4 52 60 64 102 112 114 232 234 244 282 286 294 342 346	-2176052001454
STPT(10)	2743684608477168821	0 2 48 50 108 110 168 170 216 218	-1378668161760
SPT(16)	2743684890086070481	0 12 18 28 36 48 118 130 168 180 250 262 270 280 286 298	-1097059260100
SPT(16)	2743685335278359761	0 46 108 112 132 156 172 190 198 216 232 256 276 280 342 388	-651866970820
SPT(16)	2743685573707517573	0 8 24 30 44 56 60 80 114 134 138 150 164 170 186 194	-413437813008
TPT(14)	2743685984912017097	0 2 42 44 54 56 210 212 234 236 264 266 330 332	-2233313484
SPT(16)	2743686066510742159	0 4 30 34 58 72 108 118 144 154 190 204 228 232 258 262	79365411578
SPT(16)	2743686116268822533	0 44 56 68 84 98 198 224 240 266 366 380 396 408 420 464	129123491952
SPT(16)	2743686459286938443	0 50 78 84 126 186 204 246 248 290 308 368 410 416 444 494	472141607862
SPT(16)	2743686578054020213	0 4 16 18 24 46 58 70 84 96 108 130 136 138 150 154	590908689632
STPT(10)	2743686672938947271	0 2 6 8 48 50 90 92 96 98	685793616690