Prime p₀= 3025717850870373467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 88 2 70 2 58 2 (?)
a_n: 0 2 30 32 72 74 90 92 180 182 252 254 312 314
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: [SG-FC] hl
db: batch=82, k=14, 28 40 16 88 70 58

SPT(16)	3025716622330126189	0 28 54 100 138 154 204 232 240 268 318 334 372 418 444 472	-1228540247278
STPT(10)	3025716733581477107	0 2 12 14 42 44 72 74 84 86	-1117288896360
STPT(10)	3025717136737758941	0 2 30 32 78 80 126 128 156 158	-714132614526
SPT(16)	3025717279366422181	0 6 22 30 126 160 168 210 268 310 318 352 448 456 472 478	-571503951286
STPT(10)	3025717342502239067	0 2 42 44 72 74 102 104 144 146	-508368134400
TPT(14)	3025717774395540281	0 2 96 98 120 122 168 170 180 182 198 200 246 248	-76474833186
TPT(14)	3025718996042867231	0 2 6 8 18 20 48 50 90 92 156 158 186 188	1145172493764
SPT(16)	3025719111478447399	0 10 22 28 64 70 78 120 142 184 192 198 234 240 252 262	1260608073932
SPT(16)	3025719727865239477	0 30 70 102 304 336 360 382 384 406 430 462 664 696 736 766	1876994866010
STPT(10)	3025719944704675991	0 2 48 50 108 110 168 170 216 218	2093834302524
SPT(16)	3025719951632562637	0 6 34 66 70 84 90 120 136 166 172 186 190 222 250 256	2100762189170