Prime p₀= 2053850664129817757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(12)	2053849789907364221	0 2 36 38 48 50 78 80 90 92 126 128	-874222453536
SPT(16)	2053849910868106619	0 30 32 48 60 72 132 134 168 170 230 242 254 270 272 302	-753261711138
SPT(16)	2053850007790485809	0 24 32 50 62 108 120 144 188 212 224 270 282 300 308 332	-656339331948
STPT(10)	2053850204124893747	0 2 24 26 42 44 60 62 84 86	-460004924010
STPT(10)	2053850359758807677	0 2 12 14 42 44 72 74 84 86	-304371010080
SPT(18)	2053850547107659969	0 12 18 60 120 190 198 252 270 352 370 424 432 502 562 604 610 622	-117022157788
SPT(16)	2053850954675582957	0 24 56 60 90 116 164 170 186 192 240 266 296 300 332 356	290545765200
SPT(16)	2053852079573088673	0 30 36 84 90 120 156 184 186 214 250 280 286 334 340 370	1415443270916
SPT(16)	2053852318087477007	0 62 72 102 116 132 146 156 260 270 284 300 314 344 354 416	1653957659250
SPT(16)	2053852328370722821	0 12 28 40 88 102 130 132 166 168 196 210 258 270 286 298	1664240905064
SPT(20)	2053852391879339203	0 6 10 18 54 76 84 88 120 168 256 304 336 340 348 370 406 414 418 424	1727749521446