Prime p₀= 2891853416735729651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: suriv
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2891851707536575541	0 2 6 8 92 98 102 108 140 146 150 156 240 242 246 248	-1709199154110
STPT(10)	2891852194647640967	0 2 12 14 42 44 72 74 84 86	-1222088088684
SPT(16)	2891852251975754369	0 12 24 42 80 92 134 150 152 168 210 222 260 278 290 302	-1164759975282
SPT(16)	2891852665040525467	0 42 100 120 142 154 180 196 240 256 282 294 316 336 394 436	-751695204184
SPT(16)	2891852832082245233	0 20 24 66 96 116 126 146 234 254 264 284 314 356 360 380	-584653484418
TPT(14)	2891852999815336589	0 2 48 50 168 170 222 224 258 260 300 302 312 314	-416920393062
STPT(10)	2891853510044777417	0 2 12 14 42 44 72 74 84 86	93309047766
SPT(16)	2891853562992044681	0 18 30 32 42 108 120 128 162 170 182 248 258 260 272 290	146256315030
STPT(10)	2891853632426697119	0 2 18 20 30 32 42 44 60 62	215690967468
STPT(10)	2891854059840853439	0 2 12 14 90 92 168 170 180 182	643105123788
STPT(10)	2891854126490542361	0 2 36 38 78 80 120 122 156 158	709754812710