Prime p₀= 767887507712204837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Phoenix48
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	767886712183947953	0 38 44 80 116 128 146 156 158 168 186 198 234 270 276 314	-795528256884
SPT(16)	767886912919057663	0 40 64 78 90 118 138 160 168 190 210 238 250 264 288 328	-594793147174
SPT(16)	767887000987752907	0 10 34 52 130 144 150 162 184 196 202 216 294 312 336 346	-506724451930
STPT(10)	767887257700510469	0 2 18 20 30 32 42 44 60 62	-250011694368
SPT(16)	767887442332926841	0 48 90 132 162 172 186 190 198 202 216 226 256 298 340 388	-65379277996
STPT(10)	767887465715213267	0 2 30 32 72 74 114 116 144 146	-41996991570
SPT(16)	767888047292172179	0 8 18 42 50 72 80 84 158 162 170 192 200 224 234 242	539579967342
STPT(10)	767888276081766797	0 2 24 26 42 44 60 62 84 86	768369561960
STPT(10)	767888422028752439	0 2 18 20 30 32 42 44 60 62	914316547602
SPT(18)	767888493449999357	0 50 56 72 116 132 134 144 186 200 242 252 254 270 314 330 336 386	985737794520
TPT(14)	767888665556060897	0 2 60 62 102 104 114 116 252 254 294 296 312 314	1157843856060