Prime p₀= 2578029530268182531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 76 2 10 2 40 2 76 2 (?)
a_n: 0 2 60 62 78 80 156 158 168 170 210 212 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 58 16 76 10 40 76

SPT(16)	2578028489998986599	0 12 60 84 102 138 144 152 240 248 254 290 308 332 380 392	-1040269195932
SPT(16)	2578028585804564429	0 8 18 98 108 110 120 150 260 290 300 302 312 392 402 410	-944463618102
SPT(16)	2578028631009190309	0 40 42 58 60 70 82 130 150 198 210 220 222 238 240 280	-899258992222
SPT(16)	2578028926002215669	0 12 54 68 74 78 90 104 258 272 284 288 294 308 350 362	-604265966862
STPT(10)	2578029245518620767	0 2 30 32 42 44 54 56 84 86	-284749561764
TPT(14)	2578029442971730841	0 2 30 32 60 62 78 80 90 92 156 158 168 170	-87296451690
STPT(10)	2578030172539244219	0 2 18 20 30 32 42 44 60 62	642271061688
STPT(10)	2578030197779145449	0 2 18 20 30 32 42 44 60 62	667510962918
STPT(10)	2578030225507050827	0 2 84 86 102 104 120 122 204 206	695238868296
STPT(10)	2578030630755190307	0 2 30 32 72 74 114 116 144 146	1100487007776
STPT(10)	2578030827610656917	0 2 30 32 72 74 114 116 144 146	1297342474386