Prime p₀= 2607319757898572999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2607317980880122421	0 6 30 32 72 132 140 146 156 162 170 230 270 272 296 302	-1777018450578
STPT(10)	2607318924963558821	0 2 36 38 78 80 120 122 156 158	-832935014178
TPT(14)	2607319098941904209	0 2 30 32 90 92 120 122 210 212 258 260 288 290	-658956668790
SPT(16)	2607319187843886587	0 14 30 42 44 66 86 102 164 180 200 222 224 236 252 266	-570054686412
SPT(13)	2607319205276127241	0 12 30 42 72 102 120 138 168 198 210 228 240	-552622445758
SPT(16)	2607319523462438053	0 36 54 64 76 118 156 168 196 208 246 288 300 310 328 364	-234436134946
STPT(10)	2607319855701155891	0 2 6 8 18 20 30 32 36 38	97802582892
STPT(10)	2607319972194924587	0 2 12 14 42 44 72 74 84 86	214296351588
STPT(10)	2607320178321077027	0 2 30 32 42 44 54 56 84 86	420422504028
SPT(16)	2607320192676126553	0 16 90 96 118 126 136 160 174 198 208 216 238 244 318 334	434777553554
SPT(16)	2607320396538706337	0 24 62 90 102 104 140 146 150 156 192 194 206 234 272 296	638640133338