Prime p₀= 2446352172651955859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 10 2 64 2 58 2 22 2 (?)
a_n: 0 2 18 20 90 92 102 104 168 170 228 230 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 16 70 10 64 58 22

SPT(16)	2446351313054314187	0 12 14 20 74 96 104 110 126 132 140 162 216 222 224 236	-859597641672
STPT(10)	2446351427340141017	0 2 12 14 72 74 132 134 144 146	-745311814842
STPT(10)	2446351667657159189	0 2 12 14 90 92 168 170 180 182	-504994796670
SPT(16)	2446351775506656793	0 10 24 34 54 76 130 154 156 180 234 256 276 286 300 310	-397145299066
STPT(10)	2446352007222559529	0 2 30 32 60 62 90 92 120 122	-165429396330
SPT(16)	2446352099607243209	0 2 18 42 50 78 110 132 140 162 194 222 230 254 270 272	-73044712650
SPT(16)	2446352598357611773	0 16 64 70 78 84 148 156 208 216 280 286 294 300 348 364	425705655914
SPT(16)	2446352946357589883	0 18 38 56 60 66 74 78 146 150 158 164 168 186 206 224	773705634024
SPT(16)	2446353203063199823	0 18 66 96 108 130 150 246 280 376 396 418 430 460 508 526	1030411243964
TPT(14)	2446353645754656791	0 2 96 98 108 110 138 140 180 182 228 230 240 242	1473102700932
SPT(16)	2446353702796124269	0 4 78 82 148 208 312 322 330 340 444 504 570 574 648 652	1530144168410