Prime p₀= 751967629996597769 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: GLeeM
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	751966203646122923	0 6 8 50 80 108 134 146 198 210 236 264 294 336 338 344	-1426350474846
TPT(14)	751966538151252881	0 2 18 20 30 32 78 80 90 92 156 158 186 188	-1091845344888
SPT(16)	751966800053114137	0 16 34 72 90 100 114 126 160 172 186 196 214 252 270 286	-829943483632
SPT(16)	751967025556514869	0 24 54 70 72 78 100 114 118 132 154 160 162 178 208 232	-604440082900
STPT(10)	751967164670600687	0 2 54 56 72 74 90 92 144 146	-465325997082
TPT(14)	751967321600007239	0 2 60 62 72 74 102 104 150 152 240 242 312 314	-308396590530
STPT(10)	751967778275438687	0 2 30 32 42 44 54 56 84 86	148278840918
TPT(14)	751967864523614309	0 2 138 140 180 182 198 200 240 242 270 272 312 314	234527016540
SPT(16)	751967935973717681	0 12 56 96 116 126 138 140 168 170 182 192 212 252 296 308	305977119912
SPT(16)	751968329447500043	0 8 14 30 48 68 98 116 198 216 246 266 284 300 306 314	699450902274
STPT(10)	751968677818409039	0 2 18 20 30 32 42 44 60 62	1047821811270