Prime p₀= 1257851800435217129 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1257850472719911353	0 20 56 84 96 108 134 138 176 180 206 218 230 258 294 314	-1327715305776
SPT(16)	1257850521170089507	0 6 12 34 66 90 114 156 160 202 226 250 282 304 310 316	-1279265127622
SPT(16)	1257850837956475769	0 18 42 74 182 188 210 234 248 272 294 300 408 440 464 482	-962478741360
SPT(16)	1257850927045556297	0 26 44 56 62 90 110 114 122 126 146 174 180 192 210 236	-873389660832
TPT(14)	1257851241583103309	0 2 42 44 48 50 72 74 240 242 258 260 312 314	-558852113820
SPT(16)	1257851420877919031	0 2 8 42 68 72 92 98 150 156 176 180 206 240 246 248	-379557298098
SPT(18)	1257851952072059359	0 4 58 64 94 178 210 268 318 400 450 508 540 624 654 660 714 718	151636842230
SPT(18)	1257852154088871331	0 16 22 46 70 72 78 132 156 202 226 280 286 288 312 336 342 358	353653654202
STPT(10)	1257852270451603427	0 2 30 32 42 44 54 56 84 86	470016386298
SPT(16)	1257852393259484761	0 12 22 46 82 96 112 120 148 156 172 186 222 246 256 268	592824267632
SPT(16)	1257852740601533929	0 24 34 52 54 94 118 130 132 144 168 208 210 228 238 262	940166316800