Prime p₀= 2056539965728637339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MechWarrior
db: batch=80, k=10, 2 16 2 10 2

SPT(18)	2056538111417031961	0 28 36 52 108 112 118 130 138 160 168 180 186 190 246 262 270 298	-1854311605378
STPT(10)	2056538650683439301	0 2 36 38 78 80 120 122 156 158	-1315045198038
SPT(16)	2056539096114328877	0 2 32 56 62 80 116 132 140 156 192 210 216 240 270 272	-869614308462
STPT(10)	2056539195041070317	0 2 30 32 42 44 54 56 84 86	-770687567022
STPT(10)	2056539317505319181	0 2 78 80 108 110 138 140 216 218	-648223318158
SPT(16)	2056539505304028257	0 14 24 30 86 90 132 140 156 164 206 210 266 272 282 296	-460424609082
STPT(10)	2056540559695147781	0 2 126 128 168 170 210 212 336 338	593966510442
SPT(16)	2056540599875065259	0 14 18 30 60 62 72 90 152 170 180 182 212 224 228 242	634146427920
SPT(16)	2056541029130254049	0 32 38 84 108 110 140 144 158 162 192 194 218 264 270 302	1063401616710
STPT(10)	2056542320777795897	0 2 54 56 72 74 90 92 144 146	2355049158558
STPT(10)	2056542321031843817	0 2 30 32 42 44 54 56 84 86	2355303206478