Prime p₀= 2424238068436318481 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 118 2 40 2 16 2 28 2 (?)
a_n: 0 2 6 8 18 20 138 140 180 182 198 200 228 230
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: 230
Found by: JayPi
db: batch=82, k=14, 4 10 118 40 16 28

SPT(16)	2424235751496023203	0 4 78 96 120 144 148 154 180 186 190 214 238 256 330 334	-2316940295278
STPT(10)	2424236636605880561	0 2 48 50 108 110 168 170 216 218	-1431830437920
STPT(10)	2424236666122861487	0 2 42 44 72 74 102 104 144 146	-1402313456994
STPT(10)	2424236904647752487	0 2 42 44 72 74 102 104 144 146	-1163788565994
SPT(16)	2424237050316272519	0 18 38 80 108 110 138 194 228 284 312 314 342 384 404 422	-1018120045962
SPT(16)	2424237514236150539	0 72 98 122 150 198 212 240 290 318 332 380 408 432 458 530	-554200167942
SPT(16)	2424238522954635991	0 6 16 28 58 168 190 192 196 198 220 330 360 372 382 388	454518317510
SPT(16)	2424238848992476097	0 26 54 72 86 102 114 152 294 332 344 360 374 392 420 446	780556157616
STPT(10)	2424238936522920269	0 2 18 20 30 32 42 44 60 62	868086601788
TPT(14)	2424239084984724899	0 2 12 14 90 92 132 134 138 140 150 152 168 170	1016548406418
SPT(16)	2424239768754456893	0 18 78 84 108 120 158 210 224 276 314 326 350 356 416 434	1700318138412