Prime p₀= 2464560746830711271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 196 2 28 2 28 2 40 2 (?)
a_n: 0 2 78 80 120 122 318 320 348 350 378 380 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 76 40 196 28 28 40

SPT(13)	2464558178749460279	0 24 72 90 120 132 162 192 204 234 252 300 324	-2568081250992
SPT(16)	2464558269019175867	0 24 26 32 84 102 114 140 156 182 194 212 264 270 272 296	-2477811535404
SPT(16)	2464559811218657479	0 12 22 42 48 64 70 118 174 222 228 244 250 270 280 292	-935612053792
STPT(10)	2464559864528060441	0 2 6 8 18 20 30 32 36 38	-882302650830
TPT(14)	2464559983736578829	0 2 12 14 78 80 90 92 132 134 138 140 180 182	-763094132442
SPT(16)	2464560531995676547	0 30 34 66 72 94 96 112 114 130 132 154 160 192 196 226	-214835034724
SPT(16)	2464560901158789023	0 24 38 90 96 108 120 134 180 194 206 218 224 276 290 314	154328077752
SPT(16)	2464560947752381967	0 24 42 56 66 80 102 140 156 194 216 230 240 254 272 296	200921670696
STPT(10)	2464561222611920657	0 2 30 32 42 44 54 56 84 86	475781209386
STPT(10)	2464561900838395217	0 2 30 32 72 74 114 116 144 146	1154007683946
TPT(14)	2464562508537742031	0 2 108 110 126 128 156 158 198 200 240 242 306 308	1761707030760