Prime p₀= 2081613256293780017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: JonS
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2081612126066106839	0 2 8 24 32 72 90 122 210 242 260 300 308 324 330 332	-1130227673178
STPT(10)	2081612189337369047	0 2 60 62 72 74 84 86 144 146	-1066956410970
SPT(16)	2081612457035398379	0 50 68 78 80 92 102 140 180 218 228 240 242 252 270 320	-799258381638
SPT(16)	2081612876092947959	0 14 32 42 60 62 98 102 110 114 150 152 170 180 198 212	-380200832058
STPT(10)	2081613025130593049	0 2 18 20 30 32 42 44 60 62	-231163186968
STPT(10)	2081613068715747839	0 2 18 20 30 32 42 44 60 62	-187578032178
STPT(10)	2081614113304852307	0 2 30 32 42 44 54 56 84 86	857011072290
SPT(18)	2081614814464006141	0 52 90 112 118 136 138 160 162 166 168 190 192 210 216 238 276 328	1558170226124
STPT(10)	2081614848351423569	0 2 30 32 60 62 90 92 120 122	1592057643552
STPT(10)	2081614951578397691	0 2 30 32 78 80 126 128 156 158	1695284617674
SPT(16)	2081615363247049211	0 8 72 102 110 116 126 156 182 212 222 228 236 266 330 338	2106953269194