Prime p₀= 2567320840828350107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2567317602405398807	0 2 12 26 56 60 66 72 110 116 122 126 156 170 180 182	-3238422951300
STPT(10)	2567317806915596429	0 2 30 32 60 62 90 92 120 122	-3033912753678
STPT(10)	2567318974576348829	0 2 48 50 90 92 132 134 180 182	-1866252001278
SPT(16)	2567320129276582019	0 8 20 42 54 72 110 134 138 162 200 218 230 252 264 272	-711551768088
STPT(10)	2567320412405347769	0 2 42 44 60 62 78 80 120 122	-428423002338
SPT(16)	2567320677820246841	0 36 38 50 56 78 128 146 150 168 218 240 246 258 260 296	-163008103266
STPT(10)	2567320933118886359	0 2 48 50 60 62 72 74 120 122	92290536252
TPT(14)	2567321027001453179	0 2 72 74 228 230 252 254 312 314 510 512 540 542	186173103072
STPT(10)	2567321294393267717	0 2 30 32 42 44 54 56 84 86	453564917610
STPT(10)	2567321379852797801	0 2 36 38 78 80 120 122 156 158	539024447694
STPT(10)	2567321919194896649	0 2 30 32 60 62 90 92 120 122	1078366546542