Prime p₀= 2339670754767688019 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)	2339669838025176203	0 18 30 56 86 98 108 126 158 176 186 198 228 254 266 284	-916742511816
STPT(10)	2339669851994165459	0 2 18 20 30 32 42 44 60 62	-902773522560
SPT(16)	2339670197954769259	0 12 24 28 52 54 72 108 184 220 238 240 264 268 280 292	-556812918760
SPT(16)	2339670221811311309	0 42 72 78 92 98 110 134 138 162 174 180 194 200 230 272	-532956376710
SPT(16)	2339670357028502783	0 6 80 116 140 186 194 216 284 306 314 360 384 420 494 500	-397739185236
SPT(16)	2339670569377488793	0 4 66 70 76 84 108 136 168 196 220 228 234 238 300 304	-185390199226
SPT(13)	2339670765918417469	0 48 84 90 114 150 174 198 234 258 264 300 348	11150729450
STPT(10)	2339670806463712607	0 2 30 32 42 44 54 56 84 86	51696024588
SPT(16)	2339671035298374599	0 30 38 42 72 84 108 152 180 224 248 260 290 294 302 332	280530686580
STPT(10)	2339671106198944487	0 2 30 32 72 74 114 116 144 146	351431256468
STPT(10)	2339671246299557717	0 2 30 32 42 44 54 56 84 86	491531869698