Prime p₀= 2430039293642057159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 64 2 70 2 28 2 (?)
a_n: 0 2 12 14 30 32 72 74 138 140 210 212 240 242
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: [SG-FC] hl
db: batch=82, k=14, 10 16 40 64 70 28

SPT(18)	2430037777528502509	0 4 18 42 58 70 82 142 154 228 240 300 312 324 340 364 378 382	-1516113554650
TPT(14)	2430038124071308577	0 2 54 56 72 74 162 164 180 182 264 266 360 362	-1169570748582
SPT(16)	2430038436388984459	0 24 30 58 114 180 202 208 234 240 262 328 384 412 418 442	-857253072700
SPT(13)	2430038540692970329	0 24 48 84 90 150 174 198 258 264 300 324 348	-752949086830
SPT(16)	2430038747100368659	0 12 30 40 52 58 78 100 120 142 162 168 180 190 208 220	-546541688500
SPT(16)	2430038966063162681	0 2 6 12 42 80 108 126 152 170 198 236 266 272 276 278	-327578894478
STPT(10)	2430039761159504189	0 2 48 50 90 92 132 134 180 182	467517447030
SPT(16)	2430039768771126209	0 42 84 104 140 152 162 174 188 200 210 222 258 278 320 362	475129069050
SPT(16)	2430039838407976127	0 6 14 32 50 60 110 116 120 126 176 186 204 222 230 236	544765918968
STPT(10)	2430039863787602777	0 2 12 14 42 44 72 74 84 86	570145545618
SPT(16)	2430039966372545201	0 12 20 48 86 108 152 210 218 276 320 342 380 408 416 428	672730488042