Prime p₀= 2678526217721704307 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2678524344721980047	0 2 14 44 74 80 104 122 174 192 216 222 252 282 294 296	-1872999724260
SPT(16)	2678524634158586123	0 8 18 110 128 164 170 180 224 234 240 276 294 386 396 404	-1583563118184
STPT(10)	2678524711103580011	0 2 30 32 78 80 126 128 156 158	-1506618124296
STPT(10)	2678525185889968991	0 2 36 38 78 80 120 122 156 158	-1031831735316
SPT(16)	2678525215195312907	0 20 42 84 120 132 134 180 224 270 272 284 320 362 384 404	-1002526391400
STPT(10)	2678525532396176117	0 2 30 32 72 74 114 116 144 146	-685325528190
STPT(10)	2678526228404486417	0 2 12 14 42 44 72 74 84 86	10682782110
STPT(10)	2678526351654802499	0 2 42 44 90 92 138 140 180 182	133933098192
SPT(16)	2678526495125699161	0 6 10 60 66 82 108 132 136 160 186 202 208 258 262 268	277403994854
STPT(10)	2678526871566789107	0 2 12 14 72 74 132 134 144 146	653845084800
SPT(16)	2678527220878406669	0 48 50 90 140 144 168 210 248 290 314 318 368 408 410 458	1003156702362