Prime p₀= 2386546598826595949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 124 2 28 2 22 2 4 2 40 2 (?)
a_n: 0 2 72 74 198 200 228 230 252 254 258 260 300 302
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: 302
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=14, 70 124 28 22 4 40

STPT(10)	2386545115023699599	0 2 12 14 30 32 48 50 60 62	-1483802896350
SPT(16)	2386545725358362129	0 2 30 78 170 234 254 260 282 288 308 372 464 512 540 542	-873468233820
STPT(12)	2386545909268571549	0 2 42 44 48 50 72 74 78 80 120 122	-689558024400
STPT(10)	2386545945712445729	0 2 18 20 60 62 102 104 120 122	-653114150220
SPT(16)	2386546251305975431	0 12 30 46 60 82 100 106 162 168 186 208 222 238 256 268	-347520620518
STPT(10)	2386546368918195191	0 2 78 80 138 140 198 200 276 278	-229908400758
SPT(16)	2386546781391651841	0 36 42 58 88 112 118 156 172 210 216 240 270 286 292 328	182565055892
STPT(10)	2386546822579619717	0 2 12 14 132 134 252 254 264 266	223753023768
SPT(16)	2386546863485534957	0 12 20 26 36 62 116 146 210 240 294 320 330 336 344 356	264658939008
SPT(16)	2386546913843419939	0 24 34 42 54 82 100 112 120 132 150 178 190 198 208 232	315016823990
STPT(10)	2386547143052516627	0 2 30 32 42 44 54 56 84 86	544225920678