Prime p₀= 2123655692051211317 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)	2123653490898018689	0 2 30 32 120 122 210 212 240 242	-2201153192628
STPT(10)	2123653524823498649	0 2 42 44 60 62 78 80 120 122	-2167227712668
STPT(10)	2123654518062599141	0 2 6 8 48 50 90 92 96 98	-1173988612176
STPT(10)	2123654561111635631	0 2 30 32 78 80 126 128 156 158	-1130939575686
SPT(16)	2123654576378412151	0 16 46 60 88 100 120 156 172 208 228 240 268 282 312 328	-1115672799166
STPT(10)	2123655276936994769	0 2 48 50 90 92 132 134 180 182	-415114216548
SPT(16)	2123655958706297623	0 6 46 60 76 126 130 168 178 216 220 270 286 300 340 346	266655086306
STPT(10)	2123655987531637421	0 2 30 32 78 80 126 128 156 158	295480426104
SPT(16)	2123656194434229703	0 28 70 94 96 106 136 240 274 378 408 418 420 444 486 514	502383018386
SPT(16)	2123657532516267719	0 30 38 60 72 74 90 104 108 122 138 140 152 174 182 212	1840465056402
SPT(16)	2123657554846728427	0 16 66 72 90 106 112 130 132 150 156 172 190 196 246 262	1862795517110