Prime p₀= 2056538650683439301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: gemini8
db: batch=80, k=10, 2 34 2 40 2

STPT(10)	2056537528602140957	0 2 90 92 102 104 114 116 204 206	-1122081298344
STPT(10)	2056537773587851199	0 2 48 50 60 62 72 74 120 122	-877095588102
STPT(14)	2056537831860574757	0 2 60 62 90 92 102 104 114 116 144 146 204 206	-818822864544
TPT(14)	2056537831860574757	0 2 60 62 90 92 102 104 114 116 144 146 204 206	-818822864544
SPT(16)	2056537927300381649	0 14 18 24 38 98 102 150 152 200 204 264 278 284 288 302	-723383057652
SPT(18)	2056538111417031961	0 28 36 52 108 112 118 130 138 160 168 180 186 190 246 262 270 298	-539266407340
SPT(16)	2056539096114328877	0 2 32 56 62 80 116 132 140 156 192 210 216 240 270 272	445430889576
STPT(10)	2056539195041070317	0 2 30 32 42 44 54 56 84 86	544357631016
STPT(10)	2056539317505319181	0 2 78 80 108 110 138 140 216 218	666821879880
SPT(16)	2056539505304028257	0 14 24 30 86 90 132 140 156 164 206 210 266 272 282 296	854620588956
STPT(10)	2056539965728637339	0 2 18 20 30 32 42 44 60 62	1315045198038