Prime p₀= 2322834674542665737 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: WTBroughton
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2322832965826438939	0 40 52 54 112 124 150 154 180 184 210 222 280 282 294 334	-1708716226798
STPT(10)	2322833234957158067	0 2 60 62 72 74 84 86 144 146	-1439585507670
TPT(14)	2322833335236382697	0 2 24 26 54 56 84 86 372 374 420 422 432 434	-1339306283040
SPT(16)	2322833544093570659	0 30 50 54 72 132 138 182 210 254 260 320 338 342 362 392	-1130449095078
SPT(16)	2322833976800935799	0 18 50 80 108 158 174 188 204 218 234 284 312 342 374 392	-697741729938
STPT(10)	2322834552224619989	0 2 48 50 90 92 132 134 180 182	-122318045748
STPT(10)	2322834821335821971	0 2 6 8 48 50 90 92 96 98	146793156234
TPT(16)	2322835256378484077	0 2 102 104 150 152 240 242 312 314 354 356 360 362 432 434	581835818340
SPT(16)	2322835932793528253	0 8 84 90 96 98 110 134 210 234 246 248 254 260 336 344	1258250862516
STPT(10)	2322836169376922567	0 2 30 32 42 44 54 56 84 86	1494834256830
SPT(16)	2322836663586025757	0 2 80 132 140 144 146 170 186 210 212 216 224 276 354 356	1989043360020