Prime p₀= 2677231671546330497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JonS
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2677229025568590197	0 20 74 90 102 104 110 116 300 306 312 314 326 342 396 416	-2645977740300
STPT(10)	2677229364788818907	0 2 12 14 42 44 72 74 84 86	-2306757511590
SPT(16)	2677229508770775929	0 12 18 42 48 62 78 80 120 122 138 152 158 182 188 200	-2162775554568
TPT(14)	2677229677563313331	0 2 6 8 60 62 138 140 180 182 186 188 270 272	-1993983017166
SPT(16)	2677230131306369411	0 78 86 126 170 210 230 248 258 276 296 336 380 420 428 506	-1540239961086
SPT(16)	2677230141879181541	0 30 42 108 132 158 170 186 212 228 240 266 290 356 368 398	-1529667148956
STPT(10)	2677232980108516169	0 2 18 20 30 32 42 44 60 62	1308562185672
SPT(16)	2677233109691511377	0 14 26 44 56 80 86 102 164 180 186 210 222 240 252 266	1438145180880
SPT(16)	2677233216730721639	0 12 18 104 200 222 224 282 380 438 440 462 558 644 650 662	1545184391142
SPT(16)	2677233339788748679	0 60 64 112 130 138 162 168 184 190 214 222 240 288 292 352	1668242418182
SPT(16)	2677233944559555427	0 12 46 100 106 120 126 190 246 310 316 330 336 390 424 436	2273013224930