Prime p₀= 1385023928446795361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 58 2 34 2 100 2 40 2 (?)
a_n: 0 2 6 8 30 32 90 92 126 128 228 230 270 272
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: 272
Found by: DerLetzteGermane
db: batch=77, k=14, 4 22 58 34 100 40

SPT(16)	1385021913743588567	0 2 12 30 62 84 132 140 144 152 200 222 254 272 282 284	-2014703206794
SPT(16)	1385021947912333799	0 12 14 122 134 168 278 320 342 384 494 528 540 648 650 662	-1980534461562
STPT(10)	1385022282890192081	0 2 36 38 78 80 120 122 156 158	-1645556603280
STPT(10)	1385023575268046687	0 2 30 32 42 44 54 56 84 86	-353178748674
STPT(10)	1385023869130235627	0 2 42 44 72 74 102 104 144 146	-59316559734
SPT(16)	1385023901071206709	0 4 18 34 60 118 120 172 210 262 264 322 348 364 378 382	-27375588652
STPT(10)	1385024243089328729	0 2 18 20 30 32 42 44 60 62	314642533368
STPT(10)	1385024432686150967	0 2 12 14 42 44 72 74 84 86	504239355606
TPT(14)	1385024599339192451	0 2 48 50 78 80 120 122 180 182 258 260 300 302	670892397090
STPT(10)	1385024616905142467	0 2 60 62 102 104 144 146 204 206	688458347106
SPT(16)	1385024732142774257	0 44 62 96 146 150 192 212 234 254 296 300 350 384 402 446	803695978896