Prime p₀= 2164260833533887659 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)	2164258940672348383	0 10 28 34 36 58 78 94 180 196 216 238 240 246 264 274	-1892861539276
SPT(16)	2164260065272507841	0 6 30 38 60 78 92 116 132 156 170 188 210 218 242 248	-768261379818
STPT(10)	2164260309663985847	0 2 30 32 42 44 54 56 84 86	-523869901812
STPT(12)	2164260543813410087	0 2 12 14 42 44 180 182 210 212 222 224	-289720477572
SPT(16)	2164260610397109611	0 32 38 60 72 80 126 156 212 242 288 296 308 330 336 368	-223136778048
SPT(16)	2164260832287755203	0 28 30 34 48 94 118 148 156 186 210 256 270 274 276 304	-1246132456
SPT(16)	2164260930889134313	0 48 78 126 130 136 148 178 186 216 228 234 238 286 316 364	97355246654
STPT(12)	2164261089104434427	0 2 72 74 84 86 120 122 132 134 204 206	255570546768
TPT(14)	2164261156892163209	0 2 12 14 60 62 72 74 102 104 180 182 192 194	323358275550
SPT(16)	2164261327575935683	0 6 36 46 106 160 168 186 190 208 216 270 330 340 370 376	494042048024
STPT(10)	2164261835493820757	0 2 30 32 60 62 90 92 120 122	1001959933098