Prime p₀= 2424239084984724899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 40 2 4 2 10 2 16 2 (?)
a_n: 0 2 12 14 90 92 132 134 138 140 150 152 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 10 76 40 4 10 16

SPT(16)	2424237050316272519	0 18 38 80 108 110 138 194 228 284 312 314 342 384 404 422	-2034668452380
SPT(16)	2424237514236150539	0 72 98 122 150 198 212 240 290 318 332 380 408 432 458 530	-1570748574360
TPT(14)	2424238068436318481	0 2 6 8 18 20 138 140 180 182 198 200 228 230	-1016548406418
SPT(16)	2424238522954635991	0 6 16 28 58 168 190 192 196 198 220 330 360 372 382 388	-562030088908
SPT(16)	2424238848992476097	0 26 54 72 86 102 114 152 294 332 344 360 374 392 420 446	-235992248802
STPT(10)	2424238936522920269	0 2 18 20 30 32 42 44 60 62	-148461804630
SPT(16)	2424239768754456893	0 18 78 84 108 120 158 210 224 276 314 326 350 356 416 434	683769731994
SPT(16)	2424240106419969247	0 12 42 54 60 100 106 114 172 180 186 226 232 244 274 286	1021435244348
SPT(16)	2424240488753613709	0 48 54 58 84 112 114 132 190 208 210 238 264 268 274 322	1403768888810
SPT(16)	2424240490057760161	0 72 106 112 156 162 190 196 216 222 250 256 300 306 340 412	1405073035262
STPT(10)	2424240619487860037	0 2 12 14 72 74 132 134 144 146	1534503135138