Prime p₀= 2333313578023203071 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: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2333312595535884107	0 12 54 66 84 92 122 150 176 204 234 242 260 272 314 326	-982487318964
SPT(16)	2333312665671457391	0 32 36 42 98 102 132 138 140 146 176 180 236 242 246 278	-912351745680
TPT(14)	2333312851714893131	0 2 30 32 66 68 96 98 150 152 180 182 228 230	-726308309940
STPT(10)	2333313397144586069	0 2 12 14 90 92 168 170 180 182	-180878617002
STPT(10)	2333313420934111529	0 2 42 44 90 92 138 140 180 182	-157089091542
STPT(10)	2333313558779441129	0 2 78 80 150 152 222 224 300 302	-19243761942
STPT(10)	2333313674264783447	0 2 12 14 42 44 72 74 84 86	96241580376
SPT(16)	2333313830870712299	0 38 44 80 102 110 158 164 228 234 282 290 312 348 354 392	252847509228
SPT(16)	2333314038370901659	0 12 40 52 72 78 82 90 100 108 112 118 138 150 178 190	460347698588
TPT(14)	2333314229418423047	0 2 30 32 60 62 144 146 240 242 264 266 324 326	651395219976
SPT(16)	2333314293290617699	0 12 30 34 54 72 100 108 184 192 220 238 258 262 280 292	715267414628