Prime p₀= 768091815203448077 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: arkiss
db: batch=73, k=10, 2 22 2 16 2

STPT(12)	768091259682050147	0 2 42 44 54 56 60 62 72 74 114 116	-555521397930
STPT(10)	768091591821588677	0 2 24 26 42 44 60 62 84 86	-223381859400
STPT(10)	768091705636195151	0 2 30 32 78 80 126 128 156 158	-109567252926
SPT(16)	768091771194307421	0 32 36 72 92 110 138 156 182 200 228 246 266 302 306 338	-44009140656
SPT(16)	768091794928031099	0 8 32 60 110 122 140 144 158 162 180 192 242 270 294 302	-20275416978
STPT(12)	768091796839213181	0 2 18 20 30 32 96 98 108 110 126 128	-18364234896
STPT(10)	768091912502656067	0 2 30 32 42 44 54 56 84 86	97299207990
STPT(10)	768091930798770437	0 2 30 32 72 74 114 116 144 146	115595322360
SPT(16)	768092173962278327	0 42 56 60 66 74 134 156 290 312 372 380 386 390 404 446	358758830250
SPT(16)	768092244889950157	0 4 6 24 34 42 52 60 136 144 154 162 172 190 192 196	429686502080
SPT(16)	768092267116245761	0 20 42 48 128 132 170 180 260 270 308 312 392 398 420 440	451912797684