Prime p₀= 115691349981059519 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: nenym
db: batch=67, k=10, 2 16 2 10 2

SPT(16)	115691277948996683	0 8 48 114 126 146 150 164 180 194 198 218 230 296 336 344	-72032062836
SPT(14)	115691278800335969	0 8 14 24 30 78 90 338 350 398 404 414 420 428	-71180723550
SPT(14)	115691297153841403	0 4 100 124 154 166 268 276 378 390 420 444 540 544	-52827218116
SPT(14)	115691300980670941	0 12 28 30 42 66 108 130 172 196 208 210 226 238	-49000388578
SPT(14)	115691318684232493	0 4 10 30 54 66 114 250 298 310 334 354 360 364	-31296827026
SPT(14)	115691337350864953	0 18 46 60 84 88 118 126 156 160 184 198 226 244	-12630194566
SPT(14)	115691359149801607	0 22 30 64 96 100 106 120 126 130 162 196 204 226	9168742088
SPT(14)	115691371072038473	0 20 26 98 104 108 138 176 206 210 216 288 294 314	21090978954
SPT(14)	115691372408843963	0 8 30 36 50 78 96 128 146 174 188 194 216 224	22427784444
SPT(14)	115691382691637149	0 34 60 82 90 108 124 138 154 172 180 202 228 262	32710577630
SPT(16)	115691394527810851	0 60 70 72 142 150 162 168 172 178 190 198 268 270 280 340	44546751332