Prime p₀= 2323345593819746339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2323344746963948921	0 20 38 42 66 78 92 96 122 126 140 152 176 180 198 218	-846855797418
STPT(10)	2323344841946573741	0 2 6 8 18 20 30 32 36 38	-751873172598
STPT(10)	2323344868686358799	0 2 42 44 60 62 78 80 120 122	-725133387540
SPT(16)	2323345223617277281	0 28 36 42 66 88 120 136 162 178 210 232 256 262 270 298	-370202469058
SPT(16)	2323345367628095557	0 40 60 106 130 132 220 222 244 246 334 336 360 406 426 466	-226191650782
STPT(10)	2323345526027141459	0 2 18 20 30 32 42 44 60 62	-67792604880
SPT(16)	2323346317931340319	0 28 48 60 78 100 112 114 118 120 132 154 172 184 204 232	724111593980
STPT(10)	2323346391156490121	0 2 36 38 78 80 120 122 156 158	797336743782
SPT(16)	2323346589355788863	0 14 26 44 60 80 86 96 158 168 174 194 210 228 240 254	995536042524
SPT(16)	2323346600609017259	0 30 42 68 72 78 90 128 222 260 272 278 282 308 320 350	1006789270920
SPT(16)	2323346614804126033	0 28 58 66 78 106 118 156 238 276 288 316 328 336 366 394	1020984379694