Prime p₀= 1358086485674218439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 76 2 28 2 70 2 28 2 (?)
a_n: 0 2 12 14 60 62 138 140 168 170 240 242 270 272
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: 272
Found by: Theadalus
db: batch=77, k=14, 10 46 76 28 70 28

SPT(16)	1358085952291333549	0 22 102 142 180 228 298 312 478 492 562 610 648 688 768 790	-533382884890
STPT(10)	1358085975765348881	0 2 6 8 18 20 30 32 36 38	-509908869558
SPT(16)	1358086053680314843	0 10 34 36 58 100 124 126 148 150 174 216 238 240 264 274	-431993903596
STPT(10)	1358086318267390739	0 2 18 20 30 32 42 44 60 62	-167406827700
STPT(10)	1358086374567258767	0 2 54 56 72 74 90 92 144 146	-111106959672
SPT(16)	1358086465071953107	0 72 82 100 184 186 210 274 372 436 460 462 546 564 574 646	-20602265332
SPT(16)	1358087413745251159	0 42 54 60 64 78 94 102 130 138 154 168 172 178 190 232	928071032720
STPT(10)	1358088050135326709	0 2 42 44 90 92 138 140 180 182	1564461108270
SPT(16)	1358088387299653837	0 16 24 64 112 132 136 150 196 210 214 234 282 322 330 346	1901625435398
SPT(16)	1358088547094389951	0 10 16 18 36 58 66 78 220 232 240 262 280 282 288 298	2061420171512
SPT(16)	1358088588947473543	0 18 28 40 76 94 108 150 154 196 210 228 264 276 286 304	2103273255104