Prime p₀= 1033316701372629827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 52 2 64 2 52 2 76 2 (?)
a_n: 0 2 30 32 60 62 114 116 180 182 234 236 312 314
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: 314
Found by: stoneageman
db: batch=76, k=14, 28 28 52 64 52 76

SPT(16)	1033315834061108567	0 26 30 60 74 92 102 140 156 194 204 222 236 266 270 296	-867311521260
SPT(16)	1033315845466081127	0 42 84 90 186 192 194 200 216 222 224 230 326 332 374 416	-855906548700
STPT(10)	1033316213222942177	0 2 60 62 72 74 84 86 144 146	-488149687650
TPT(14)	1033316314927572371	0 2 66 68 78 80 90 92 126 128 150 152 216 218	-386445057456
SPT(16)	1033316569116546773	0 50 60 86 120 134 198 270 284 356 420 434 468 494 504 554	-132256083054
SPT(16)	1033316633769094943	0 50 66 86 108 114 116 140 144 168 170 176 198 218 234 284	-67603534884
TPT(14)	1033317163992044339	0 2 18 20 198 200 282 284 312 314 330 332 510 512	462619414512
SPT(16)	1033317444495360119	0 2 12 14 54 98 128 134 138 144 174 218 258 260 270 272	743122730292
SPT(16)	1033317811301494267	0 16 66 72 124 154 174 190 336 352 372 402 454 460 510 526	1109928864440
STPT(10)	1033317860413815701	0 2 6 8 48 50 90 92 96 98	1159041185874
STPT(10)	1033318162508036357	0 2 30 32 42 44 54 56 84 86	1461135406530