Prime p₀= 225629457590260739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 118 2 34 2 10 2 28 2 10 2 (?)
a_n: 0 2 42 44 162 164 198 200 210 212 240 242 252 254
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: Vincent Dark
db: batch=69, k=14, 40 118 34 10 28 10

SPT(14)	225629410790085607	0 4 54 60 64 84 112 114 142 162 166 172 222 226	-46800175132
SPT(14)	225629414592610111	0 10 42 90 102 118 130 198 210 226 238 286 318 328	-42997650628
SPT(14)	225629416600747933	0 28 70 118 138 148 198 256 306 316 336 384 426 454	-40989512806
SPT(14)	225629425827874039	0 34 54 60 72 100 102 112 114 142 154 160 180 214	-31762386700
TPT(12)	225629429526163841	0 2 78 80 96 98 300 302 336 338 426 428	-28064096898
TPT(12)	225629445539161787	0 2 30 32 54 56 60 62 102 104 132 134	-12051098952
SPT(14)	225629457591517897	0 12 16 24 30 52 60 106 114 136 142 150 154 166	1257158
SPT(14)	225629461256395783	0 10 28 34 94 124 126 208 210 240 300 306 324 334	3666135044
SPT(14)	225629468111708029	0 10 12 52 54 90 130 132 172 208 210 250 252 262	10521447290
SPT(14)	225629471723587577	0 6 32 42 60 62 90 92 120 122 140 150 176 182	14133326838
TPT(12)	225629478889828841	0 2 78 80 120 122 168 170 198 200 216 218	21299568102