Prime p₀= 2525898847016179181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 82 2 4 2 22 2 304 2 (?)
a_n: 0 2 30 32 66 68 150 152 156 158 180 182 486 488
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: 488
Found by: JayPi
db: batch=82, k=14, 28 34 82 4 22 304

STPT(10)	2525897644005122111	0 2 6 8 48 50 90 92 96 98	-1203011057070
STPT(10)	2525897769332349077	0 2 30 32 42 44 54 56 84 86	-1077683830104
TPT(14)	2525897882384303501	0 2 48 50 60 62 180 182 228 230 270 272 336 338	-964631875680
SPT(16)	2525898001563049717	0 22 36 42 52 90 102 120 226 244 256 294 304 310 324 346	-845453129464
STPT(10)	2525898098729625017	0 2 30 32 72 74 114 116 144 146	-748286554164
SPT(16)	2525898200990125903	0 28 78 84 88 90 118 120 208 210 238 240 244 250 300 328	-646026053278
STPT(10)	2525899625631985751	0 2 36 38 78 80 120 122 156 158	778615806570
SPT(16)	2525899675158708151	0 6 18 88 120 132 156 168 190 202 226 238 270 340 352 358	828142528970
TPT(14)	2525899929941856407	0 2 60 62 102 104 210 212 330 332 342 344 354 356	1082925677226
SPT(16)	2525900140221319559	0 8 78 90 98 132 140 158 162 180 188 222 230 242 312 320	1293205140378
SPT(18)	2525900397027959089	0 10 40 52 64 154 160 162 204 220 262 264 270 360 372 384 414 424	1550011779908