Prime p₀= 2029771084410008909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Dingo
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2029770163607011051	0 6 28 42 102 232 286 298 300 312 366 496 556 570 592 598	-920802997858
SPT(16)	2029770180614742001	0 42 72 90 102 132 150 168 262 280 298 328 340 358 388 430	-903795266908
SPT(16)	2029770247809645959	0 14 18 50 104 134 144 150 242 248 258 288 342 374 378 392	-836600362950
STPT(10)	2029770785454421979	0 2 12 14 30 32 48 50 60 62	-298955586930
STPT(10)	2029770921507229721	0 2 6 8 18 20 30 32 36 38	-162902779188
STPT(10)	2029770931595493587	0 2 54 56 72 74 90 92 144 146	-152814515322
SPT(16)	2029771095493484339	0 20 24 38 54 98 120 122 150 152 174 218 234 248 252 272	11083475430
SPT(16)	2029771394261668663	0 58 90 100 114 138 144 160 168 184 190 214 228 238 270 328	309851659754
STPT(10)	2029771523849555579	0 2 18 20 30 32 42 44 60 62	439439546670
SPT(16)	2029771558708423489	0 40 58 88 100 112 120 124 168 172 180 192 204 234 252 292	474298414580
STPT(10)	2029771701096231707	0 2 24 26 42 44 60 62 84 86	616686222798