Prime p₀= 2053850204124893747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2053848541675349891	0 2 36 38 108 110 180 182 216 218	-1662449543856
TPT(14)	2053848956991774797	0 2 24 26 72 74 162 164 180 182 252 254 414 416	-1247133118950
STPT(10)	2053849254257073587	0 2 30 32 72 74 114 116 144 146	-949867820160
STPT(12)	2053849789907364221	0 2 36 38 48 50 78 80 90 92 126 128	-414217529526
SPT(16)	2053849910868106619	0 30 32 48 60 72 132 134 168 170 230 242 254 270 272 302	-293256787128
SPT(16)	2053850007790485809	0 24 32 50 62 108 120 144 188 212 224 270 282 300 308 332	-196334407938
STPT(10)	2053850359758807677	0 2 12 14 42 44 72 74 84 86	155633913930
SPT(18)	2053850547107659969	0 12 18 60 120 190 198 252 270 352 370 424 432 502 562 604 610 622	342982766222
STPT(10)	2053850664129817757	0 2 12 14 42 44 72 74 84 86	460004924010
SPT(16)	2053850954675582957	0 24 56 60 90 116 164 170 186 192 240 266 296 300 332 356	750550689210
SPT(16)	2053852079573088673	0 30 36 84 90 120 156 184 186 214 250 280 286 334 340 370	1875448194926