Prime p₀= 751967164670600687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: GLeeM
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	751965932911463563	0 24 34 94 156 160 198 216 238 256 294 298 360 420 430 454	-1231759137124
TPT(14)	751966009295374847	0 2 24 26 30 32 54 56 84 86 114 116 120 122	-1155375225840
SPT(16)	751966203646122923	0 6 8 50 80 108 134 146 198 210 236 264 294 336 338 344	-961024477764
TPT(14)	751966538151252881	0 2 18 20 30 32 78 80 90 92 156 158 186 188	-626519347806
SPT(16)	751966800053114137	0 16 34 72 90 100 114 126 160 172 186 196 214 252 270 286	-364617486550
SPT(16)	751967025556514869	0 24 54 70 72 78 100 114 118 132 154 160 162 178 208 232	-139114085818
TPT(14)	751967321600007239	0 2 60 62 72 74 102 104 150 152 240 242 312 314	156929406552
STPT(10)	751967629996597769	0 2 18 20 30 32 42 44 60 62	465325997082
STPT(10)	751967778275438687	0 2 30 32 42 44 54 56 84 86	613604838000
TPT(14)	751967864523614309	0 2 138 140 180 182 198 200 240 242 270 272 312 314	699853013622
SPT(16)	751967935973717681	0 12 56 96 116 126 138 140 168 170 182 192 212 252 296 308	771303116994