Prime p₀= 2425463743045039589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Roadranner
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2425463197188656399	0 12 54 134 164 180 222 224 228 230 272 288 318 398 440 452	-545856383190
SPT(16)	2425463271087795319	0 12 42 78 112 132 148 160 162 174 190 210 244 280 310 322	-471957244270
SPT(16)	2425463328896960731	0 18 46 70 100 142 166 208 210 252 276 318 348 372 400 418	-414148078858
SPT(16)	2425463490077184877	0 22 46 84 90 102 106 112 144 150 154 166 172 210 234 256	-252967854712
STPT(10)	2425463607445499417	0 2 24 26 42 44 60 62 84 86	-135599540172
STPT(10)	2425463702798692637	0 2 42 44 72 74 102 104 144 146	-40246346952
SPT(16)	2425463759979265139	0 12 24 32 60 120 122 138 164 180 182 242 270 278 290 302	16934225550
SPT(16)	2425463926275021131	0 8 26 48 78 132 152 156 482 486 506 560 590 612 630 638	183229981542
TPT(14)	2425464587156636687	0 2 60 62 294 296 420 422 462 464 474 476 522 524	844111597098
STPT(10)	2425464770625431831	0 2 6 8 18 20 30 32 36 38	1027580392242
STPT(10)	2425465155711585677	0 2 30 32 42 44 54 56 84 86	1412666546088