Prime p₀= 2031149083615301327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Pavel Kirpichenko
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2031147244941118483	0 6 18 28 40 48 78 90 196 208 238 246 258 268 280 286	-1838674182844
SPT(16)	2031147380866094063	0 6 18 56 84 108 150 158 306 314 356 380 408 446 458 464	-1702749207264
TPT(14)	2031147458214016949	0 2 72 74 132 134 210 212 300 302 312 314 330 332	-1625401284378
STPT(10)	2031147501285643859	0 2 18 20 30 32 42 44 60 62	-1582329657468
STPT(10)	2031148023686293397	0 2 54 56 72 74 90 92 144 146	-1059929007930
SPT(16)	2031148777127075041	0 16 36 42 72 100 102 126 256 280 282 310 340 346 366 382	-306488226286
STPT(10)	2031149122051369919	0 2 18 20 30 32 42 44 60 62	38436068592
SPT(16)	2031149620231307791	0 18 28 36 40 90 96 118 138 160 166 216 220 228 238 256	536616006464
SPT(16)	2031150298382625727	0 6 24 52 90 102 150 160 186 196 244 256 294 322 340 346	1214767324400
TPT(14)	2031150870846563537	0 2 24 26 30 32 42 44 84 86 120 122 210 212	1787231262210
TPT(14)	2031150991363175291	0 2 36 38 108 110 150 152 210 212 288 290 330 332	1907747873964