Prime p₀= 36570461867222597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Odd-Rod
db: batch=65, k=10, 2 28 2 40 2

SPT(14)	36570413023455341	0 6 30 72 92 108 120 128 140 156 176 218 242 248	-48843767256
TPT(12)	36570416560249541	0 2 30 32 48 50 156 158 180 182 210 212	-45306973056
SPT(14)	36570419604454559	0 32 42 48 50 68 98 102 132 150 152 158 168 200	-42262768038
SPT(14)	36570449117314969	0 10 28 72 94 114 120 142 148 168 190 234 252 262	-12749907628
TPT(12)	36570450431371739	0 2 78 80 120 122 150 152 282 284 318 320	-11435850858
SPT(14)	36570450616733573	0 18 44 78 80 134 140 264 270 324 326 360 386 404	-11250489024
TPT(12)	36570479601310841	0 2 30 32 90 92 138 140 198 200 216 218	17734088244
SPT(14)	36570484760912341	0 12 18 22 28 40 70 78 108 120 126 130 136 148	22893689744
TPT(12)	36570494908386377	0 2 12 14 72 74 120 122 204 206 222 224	33041163780
SPT(14)	36570511092858031	0 28 42 58 66 76 78 100 102 112 120 136 150 178	49225635434
TPT(12)	36570514879898771	0 2 90 92 156 158 168 170 186 188 198 200	53012676174