Prime p₀= 1820367554756568047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: amazing
db: batch=79, k=10, 2 22 2 16 2

TPT(14)	1820365218951456179	0 2 72 74 90 92 162 164 198 200 210 212 312 314	-2335805111868
SPT(16)	1820365898689376963	0 26 78 110 114 116 144 200 204 260 288 290 294 326 378 404	-1656067191084
SPT(16)	1820366293630759177	0 10 24 36 46 70 154 156 184 186 270 294 304 316 330 340	-1261125808870
SPT(16)	1820366469277245233	0 50 78 170 194 204 236 248 336 348 380 390 414 506 534 584	-1085479322814
STPT(10)	1820366578365817121	0 2 6 8 48 50 90 92 96 98	-976390750926
TPT(14)	1820367411652722629	0 2 12 14 30 32 72 74 132 134 138 140 180 182	-143103845418
STPT(10)	1820367570209737691	0 2 6 8 18 20 30 32 36 38	15453169644
STPT(10)	1820368004311388429	0 2 18 20 30 32 42 44 60 62	449554820382
STPT(10)	1820368014490733291	0 2 78 80 108 110 138 140 216 218	459734165244
SPT(16)	1820368127941996861	0 18 40 70 78 118 148 156 172 180 210 250 258 288 310 328	573185428814
SPT(16)	1820368256513805797	0 32 36 50 122 152 182 186 200 204 234 264 336 350 354 386	701757237750