Prime p₀= 3091390434543371687 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: JayPi
db: batch=83, k=10, 2 22 2 16 2

SPT(16)	3091389077681693681	0 6 68 98 116 126 156 158 168 170 200 210 228 258 320 326	-1356861678006
SPT(16)	3091389245930156263	0 16 36 58 70 108 124 156 358 390 406 444 456 478 498 514	-1188613215424
SPT(16)	3091389513133909523	0 74 98 138 156 158 180 240 254 314 336 338 356 396 420 494	-921409462164
STPT(10)	3091389536091640841	0 2 30 32 78 80 126 128 156 158	-898451730846
TPT(14)	3091389722601092321	0 2 6 8 48 50 66 68 90 92 168 170 180 182	-711942279366
SPT(16)	3091390159662881917	0 16 84 96 114 126 150 154 192 196 220 232 250 262 330 346	-274880489770
SPT(16)	3091390512967843817	0 2 30 122 126 132 174 176 210 212 254 260 264 356 384 386	78424472130
STPT(10)	3091390636134815681	0 2 6 8 18 20 30 32 36 38	201591443994
STPT(10)	3091390650335533361	0 2 6 8 48 50 90 92 96 98	215792161674
STPT(10)	3091391362431297197	0 2 30 32 42 44 54 56 84 86	927887925510
STPT(10)	3091391368129573511	0 2 30 32 60 62 90 92 120 122	933586201824