Prime p₀= 2593170587183223371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 28 2 28 2 10 2 28 2 (?)
a_n: 0 2 30 32 156 158 186 188 216 218 228 230 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 28 124 28 28 10 28

SPT(16)	2593168291343860033	0 16 46 90 130 138 160 196 198 234 256 264 304 348 378 394	-2295839363338
STPT(10)	2593168406178127859	0 2 12 14 90 92 168 170 180 182	-2181005095512
SPT(16)	2593168649351154887	0 26 60 62 80 96 180 200 216 236 320 336 354 356 390 416	-1937832068484
TPT(14)	2593169032922325287	0 2 84 86 132 134 174 176 210 212 264 266 300 302	-1554260898084
TPT(14)	2593170223041977429	0 2 12 14 102 104 138 140 240 242 300 302 492 494	-364141245942
STPT(10)	2593170370473289589	0 2 48 50 90 92 132 134 180 182	-216709933782
SPT(16)	2593170620181243673	0 4 54 64 70 76 90 96 148 154 168 174 180 190 240 244	32998020302
TPT(14)	2593170929845709201	0 2 48 50 60 62 258 260 330 332 396 398 468 470	342662485830
STPT(10)	2593171046037906107	0 2 12 14 72 74 132 134 144 146	458854682736
SPT(16)	2593171198026742429	0 12 24 42 52 54 78 84 88 94 118 120 130 148 160 172	610843519058
SPT(16)	2593171783603779013	0 96 114 124 130 136 138 166 228 256 258 264 270 280 298 394	1196420555642