Prime p₀= 2158015866801372629 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2158015353849335153	0 50 104 120 180 210 218 224 270 276 284 314 374 390 444 494	-512952037476
STPT(10)	2158015378324852181	0 2 36 38 78 80 120 122 156 158	-488476520448
TPT(14)	2158015644398639939	0 2 18 20 198 200 258 260 390 392 408 410 420 422	-222402732690
TPT(14)	2158015682170157177	0 2 60 62 84 86 102 104 144 146 264 266 294 296	-184631215452
SPT(16)	2158015731304003297	0 16 24 30 46 96 100 124 156 180 184 234 250 256 264 280	-135497369332
TPT(14)	2158015773449720687	0 2 72 74 84 86 114 116 150 152 180 182 240 242	-93351651942
STPT(10)	2158016383174247411	0 2 6 8 48 50 90 92 96 98	516372874782
STPT(10)	2158016597441808527	0 2 54 56 72 74 90 92 144 146	730640435898
SPT(16)	2158016615169428261	0 6 62 110 140 188 198 206 282 290 300 348 378 426 482 488	748368055632
TPT(14)	2158016635696056599	0 2 60 62 198 200 252 254 270 272 312 314 378 380	768894683970
SPT(16)	2158016844681194993	0 56 74 156 200 210 216 228 236 248 254 264 308 390 408 464	977879822364