Prime p₀= 779702782946362589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 46 2 10 2 16 2 10 2 10 2 (?)
a_n: 0 2 150 152 198 200 210 212 228 230 240 242 252 254
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: schoussi
db: batch=73, k=14, 148 46 10 16 10 10

SPT(16)	779701761004622693	0 6 14 20 26 54 56 74 90 108 110 138 144 150 158 164	-1021941739896
STPT(10)	779701991149058441	0 2 36 38 78 80 120 122 156 158	-791797304148
SPT(16)	779702028332986279	0 22 34 58 100 124 148 160 162 174 198 222 264 288 300 322	-754613376310
SPT(16)	779702178784659041	0 36 42 86 120 126 132 140 162 170 176 182 216 260 266 302	-604161703548
STPT(10)	779702351057405231	0 2 30 32 78 80 126 128 156 158	-431888957358
SPT(16)	779702555004727693	0 30 34 58 70 84 114 118 150 154 184 198 210 234 238 268	-227941634896
SPT(16)	779702822790089257	0 12 22 24 64 72 90 132 142 184 202 210 250 252 262 274	39843726668
STPT(10)	779703487868917289	0 2 18 20 30 32 42 44 60 62	704922554700
STPT(10)	779703886827291269	0 2 18 20 30 32 42 44 60 62	1103880928680
STPT(10)	779704109627671799	0 2 18 20 30 32 42 44 60 62	1326681309210
TPT(14)	779704129636860521	0 2 30 32 78 80 90 92 168 170 210 212 228 230	1346690497932