Prime p₀= 2031127097669711939 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: Time_Traveler
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2031126085973129543	0 54 60 66 128 140 156 168 296 308 324 336 398 404 410 464	-1011696582396
SPT(16)	2031126237248926297	0 6 36 46 60 72 96 100 186 190 214 226 240 250 280 286	-860420785642
STPT(10)	2031126481745456267	0 2 12 14 42 44 72 74 84 86	-615924255672
SPT(16)	2031126522971319001	0 40 60 76 82 96 132 138 160 166 202 216 222 238 258 298	-574698392938
SPT(16)	2031126718914372329	0 12 20 32 48 84 92 108 134 150 158 194 210 222 230 242	-378755339610
SPT(16)	2031126737322897521	0 6 32 38 90 98 140 158 180 198 240 248 300 306 332 338	-360346814418
STPT(10)	2031127345423135871	0 2 6 8 18 20 30 32 36 38	247753423932
SPT(16)	2031127484732345563	0 18 36 46 90 130 166 168 208 210 246 286 330 340 358 376	387062633624
STPT(10)	2031127728624370469	0 2 42 44 60 62 78 80 120 122	630954658530
SPT(16)	2031127732709691137	0 20 60 84 96 126 134 146 174 186 194 224 236 260 300 320	635039979198
STPT(10)	2031128131791977501	0 2 6 8 48 50 90 92 96 98	1034122265562