Prime p₀= 4305797090082024767 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: Chooka
db: batch=85, k=10, 2 22 2 16 2

SPT(16)	4305796060152441373	0 4 24 36 70 84 100 150 184 234 250 264 298 310 330 334	-1029929583394
SPT(16)	4305796209794543071	0 10 66 88 100 126 130 132 136 138 142 168 180 202 258 268	-880287481696
STPT(12)	4305796213197995627	0 2 12 14 42 44 72 74 102 104 114 116	-876884029140
STPT(10)	4305796404902350409	0 2 42 44 60 62 78 80 120 122	-685179674358
STPT(10)	4305796974164983439	0 2 18 20 30 32 42 44 60 62	-115917041328
SPT(16)	4305796996767122767	0 22 30 42 60 66 70 106 150 186 190 196 214 226 234 256	-93314902000
STPT(10)	4305797303065585937	0 2 30 32 120 122 210 212 240 242	212983561170
SPT(16)	4305797308461004487	0 20 24 84 92 110 132 152 162 182 204 222 230 290 294 314	218378979720
SPT(16)	4305797858725496867	0 30 86 116 122 126 140 144 152 156 170 174 180 210 266 296	768643472100
STPT(10)	4305798281574826637	0 2 30 32 42 44 54 56 84 86	1191492801870
SPT(16)	4305799547870347973	0 26 50 78 80 96 158 248 306 396 458 474 476 504 528 554	2457788323206