Prime p₀= 1324419516252863759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 178 2 58 2 46 2 88 2 28 2 (?)
a_n: 0 2 42 44 222 224 282 284 330 332 420 422 450 452
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: 452
Found by: Theadalus
db: batch=77, k=14, 40 178 58 46 88 28

SPT(16)	1324417851544133993	0 6 8 48 80 138 140 150 194 204 206 264 296 336 338 344	-1664708729766
SPT(16)	1324418268242588671	0 12 36 48 52 96 132 136 162 166 202 246 250 262 286 298	-1248010275088
SPT(16)	1324418561649266599	0 22 40 54 70 84 94 102 172 180 190 204 220 234 252 274	-954603597160
SPT(16)	1324418678671829641	0 10 18 28 40 60 70 88 102 120 130 150 162 172 180 190	-837581034118
STPT(10)	1324419198592694819	0 2 18 20 30 32 42 44 60 62	-317660168940
SPT(16)	1324419426007310509	0 10 22 42 70 84 90 114 148 172 178 192 220 240 252 262	-90245553250
STPT(10)	1324419815214127571	0 2 30 32 60 62 90 92 120 122	298961263812
STPT(10)	1324420274573730161	0 2 36 38 78 80 120 122 156 158	758320866402
SPT(16)	1324420894127397851	0 30 38 42 68 92 108 122 126 140 156 180 206 210 218 248	1377874534092
STPT(10)	1324421482322363771	0 2 90 92 150 152 210 212 300 302	1966069500012
STPT(10)	1324422018185892629	0 2 12 14 90 92 168 170 180 182	2501933028870