Prime p₀= 2712363377760658649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2712362038343672269	0 64 70 84 100 112 168 174 178 184 240 252 268 282 288 352	-1339416986380
SPT(16)	2712362246684579603	0 6 44 56 126 140 144 170 270 296 300 314 384 396 434 440	-1131076079046
STPT(10)	2712362424324853211	0 2 6 8 18 20 30 32 36 38	-953435805438
SPT(16)	2712362801827682467	0 10 24 100 102 126 142 156 190 204 220 244 246 322 336 346	-575932976182
TPT(14)	2712362874759592259	0 2 162 164 228 230 258 260 282 284 342 344 462 464	-503001066390
TPT(14)	2712363359981908271	0 2 60 62 78 80 168 170 198 200 240 242 246 248	-17778750378
SPT(16)	2712363419130927977	0 30 32 120 132 134 156 192 224 260 282 284 296 384 386 416	41370269328
SPT(16)	2712363538471511201	0 6 36 116 140 158 186 200 228 242 270 288 312 392 422 428	160710852552
SPT(16)	2712363587235257521	0 10 40 48 82 112 126 192 196 262 276 306 340 348 378 388	209474598872
SPT(16)	2712364146541584707	0 14 42 44 50 170 204 212 222 230 264 384 390 392 420 434	768780926058
SPT(16)	2712364762504341317	0 2 6 42 60 80 90 92 114 116 126 146 164 200 204 206	1384743682668