Prime p₀= 2112080337887764427 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=80, k=10, 2 28 2 10 2

SPT(16)	2112077854175495851	0 28 40 142 156 186 196 198 280 282 292 322 336 438 450 478	-2483712268576
SPT(16)	2112078264774198689	0 2 12 20 24 68 128 150 152 174 234 278 282 290 300 302	-2073113565738
SPT(16)	2112078847578470951	0 56 110 120 138 152 182 206 222 246 276 290 308 318 372 428	-1490309293476
STPT(10)	2112079209948705761	0 2 30 32 78 80 126 128 156 158	-1127939058666
SPT(16)	2112080014392145789	0 4 40 60 70 78 88 112 120 144 154 162 172 192 228 232	-323495618638
SPT(16)	2112080122478989573	0 96 106 150 184 198 268 270 274 276 346 360 394 438 448 544	-215408774854
SPT(16)	2112080467549517323	0 34 60 84 126 148 154 174 190 210 216 238 280 304 330 364	129661752896
TPT(14)	2112080487079823567	0 2 72 74 180 182 234 236 240 242 282 284 294 296	149192059140
STPT(10)	2112081028535139707	0 2 42 44 132 134 222 224 264 266	690647375280
STPT(10)	2112081048406068767	0 2 30 32 42 44 54 56 84 86	710518304340
SPT(16)	2112081619789627151	0 12 150 156 162 206 210 240 332 362 366 410 416 422 560 572	1281901862724