Prime p₀= 2377626835618673537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 28 2 10 2 10 2 46 2 (?)
a_n: 0 2 54 56 120 122 150 152 162 164 174 176 222 224
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: 224
Found by: arkiss
db: batch=81, k=14, 52 64 28 10 10 46

SPT(16)	2377625318736459797	0 26 54 92 96 120 134 150 176 192 206 230 234 272 300 326	-1516882213740
STPT(10)	2377625519768892269	0 2 30 32 60 62 90 92 120 122	-1315849781268
SPT(16)	2377625678090302271	0 30 48 62 128 146 150 168 170 188 192 210 276 290 308 338	-1157528371266
SPT(16)	2377625773985076163	0 16 24 28 58 84 96 118 156 178 190 216 246 250 258 274	-1061633597374
SPT(16)	2377625779916257237	0 22 52 70 82 96 126 156 190 220 250 264 276 294 324 346	-1055702416300
SPT(16)	2377626062050561009	0 22 24 28 34 88 108 112 150 154 174 228 234 238 240 262	-773568112528
SPT(16)	2377627170925461053	0 26 36 44 56 78 84 110 144 170 176 198 210 218 228 254	335306787516
SPT(16)	2377627193385397711	0 16 66 72 136 150 156 160 192 196 202 216 280 286 336 352	357766724174
SPT(16)	2377627457473431221	0 18 50 66 80 90 92 122 126 156 158 168 182 198 230 248	621854757684
STPT(10)	2377627551868143317	0 2 30 32 42 44 54 56 84 86	716249469780
SPT(18)	2377627725553940159	0 20 54 72 84 98 110 128 138 224 234 252 264 278 290 308 342 362	889935266622