Prime p₀= 3091569777524149307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: UrsD
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3091568885631038167	0 4 42 60 64 70 82 94 120 132 144 150 154 172 210 214	-891893111140
STPT(10)	3091568985648507281	0 2 30 32 78 80 126 128 156 158	-791875642026
SPT(16)	3091569088135452857	0 44 60 102 104 116 140 150 206 216 240 252 254 296 312 356	-689388696450
SPT(16)	3091569274141432159	0 84 108 130 148 150 174 220 312 358 382 384 402 424 448 532	-503382717148
SPT(16)	3091569452284273601	0 12 78 98 158 188 236 242 246 252 300 330 390 410 476 488	-325239875706
SPT(16)	3091569572327049427	0 52 60 70 82 126 130 150 196 216 220 264 276 286 294 346	-205197099880
STPT(10)	3091569989519031299	0 2 42 44 180 182 318 320 360 362	211994881992
STPT(10)	3091570067493049229	0 2 42 44 90 92 138 140 180 182	289968899922
STPT(10)	3091570941471420767	0 2 60 62 72 74 84 86 144 146	1163947271460
STPT(10)	3091571610328578677	0 2 24 26 42 44 60 62 84 86	1832804429370
SPT(16)	3091571863482444851	0 66 68 78 116 122 138 168 200 230 246 252 290 300 302 368	2085958295544