Prime p₀= 2333306623208225219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2333304519469879793	0 8 48 120 146 158 168 200 234 266 276 288 314 386 426 434	-2103738345426
STPT(10)	2333304520503626639	0 2 12 14 30 32 48 50 60 62	-2102704598580
STPT(10)	2333304981008100269	0 2 18 20 30 32 42 44 60 62	-1642200124950
SPT(16)	2333306276293520183	0 8 54 68 78 90 174 200 204 230 314 326 336 350 396 404	-346914705036
TPT(14)	2333306301468336611	0 2 30 32 126 128 198 200 228 230 258 260 366 368	-321739888608
SPT(16)	2333306564491691069	0 8 24 30 50 68 84 108 140 164 180 198 218 224 240 248	-58716534150
SPT(16)	2333306801066634331	0 22 28 46 60 70 78 130 138 190 198 208 222 240 246 268	177858409112
STPT(10)	2333307104075407259	0 2 48 50 60 62 72 74 120 122	480867182040
SPT(16)	2333307674438689457	0 20 26 66 84 90 104 122 204 222 236 242 260 300 306 326	1051230464238
SPT(16)	2333308264357381537	0 4 6 30 36 46 52 66 70 84 90 100 106 130 132 136	1641149156318
SPT(16)	2333308617219856711	0 58 96 162 166 178 196 198 220 222 240 252 256 322 360 418	1994011631492