Prime p₀= 2465513448952470251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 88 2 16 2 16 2 52 2 (?)
a_n: 0 2 30 32 60 62 150 152 168 170 186 188 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 28 28 88 16 16 52

SPT(16)	2465511938956100807	0 12 26 42 66 80 104 114 122 132 156 170 194 210 224 236	-1509996369444
TPT(14)	2465512186047043337	0 2 24 26 84 86 120 122 180 182 222 224 294 296	-1262905426914
SPT(16)	2465512703188665343	0 58 66 108 124 154 168 174 310 316 330 360 376 418 426 484	-745763804908
SPT(16)	2465513042212030361	0 20 42 80 90 102 146 150 158 162 206 218 228 266 288 308	-406740439890
SPT(16)	2465513125256587843	0 16 34 54 94 118 120 136 138 154 156 180 220 240 258 274	-323695882408
SPT(16)	2465513138952954829	0 4 34 70 72 78 90 112 120 142 154 160 162 198 228 232	-309999515422
SPT(16)	2465513948839104703	0 4 28 40 46 66 108 234 250 376 418 438 444 456 480 484	499886634452
SPT(16)	2465514207262530107	0 12 14 54 56 62 92 110 216 234 264 270 272 312 314 326	758310059856
SPT(16)	2465514745213153303	0 4 18 24 40 60 70 88 90 108 118 138 154 160 174 178	1296260683052
STPT(10)	2465514934954803341	0 2 30 32 78 80 126 128 156 158	1486002333090
SPT(16)	2465515421632492759	0 4 12 22 34 82 112 144 148 180 210 258 270 280 288 292	1972680022508