Prime p₀= 1675295440564382891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 88 2 46 2 28 2 22 2 (?)
a_n: 0 2 60 62 78 80 168 170 216 218 246 248 270 272
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: CoolAtchOk
db: batch=79, k=14, 58 16 88 46 28 22

SPT(16)	1675295055530061863	0 56 78 80 140 144 170 176 198 204 230 234 294 296 318 374	-385034321028
SPT(16)	1675295168839790909	0 12 24 68 90 98 104 108 224 228 234 242 264 308 320 332	-271724591982
STPT(10)	1675295204642218811	0 2 36 38 78 80 120 122 156 158	-235922164080
SPT(16)	1675295373645367043	0 14 30 56 66 84 104 108 146 150 170 188 198 224 240 254	-66919015848
SPT(16)	1675295377295869579	0 4 24 48 60 94 120 138 160 178 204 238 250 274 294 298	-63268513312
STPT(10)	1675295411680987277	0 2 30 32 42 44 54 56 84 86	-28883395614
SPT(16)	1675295627966695069	0 10 48 70 90 108 112 114 238 240 244 262 282 304 342 352	187402312178
STPT(10)	1675295846484265007	0 2 30 32 60 62 90 92 120 122	405919882116
STPT(10)	1675295868471920267	0 2 42 44 72 74 102 104 144 146	427907537376
STPT(10)	1675296938164255517	0 2 42 44 72 74 102 104 144 146	1497599872626
SPT(16)	1675296969533797739	0 72 114 138 140 162 174 194 318 338 350 372 374 398 440 512	1528969414848