Prime p₀= 2696710398785066099 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: amargo133
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2696708775531504467	0 2 24 26 42 44 60 62 84 86	-1623253561632
SPT(16)	2696708835400699837	0 12 72 76 82 132 180 214 252 286 334 384 390 394 454 466	-1563384366262
SPT(16)	2696709039364298867	0 24 42 54 62 72 80 84 152 156 164 174 182 194 212 236	-1359420767232
SPT(16)	2696709312863357009	0 30 72 80 84 92 102 114 128 140 150 158 162 170 212 242	-1085921709090
SPT(16)	2696709483502193771	0 2 20 36 42 62 66 140 162 236 240 260 266 282 300 302	-915282872328
SPT(16)	2696710080711764057	0 20 24 42 66 134 152 174 182 204 222 290 314 332 336 356	-318073302042
SPT(16)	2696710986231892337	0 12 24 26 66 92 96 114 122 140 144 170 210 212 224 236	587446826238
STPT(10)	2696711162056022099	0 2 18 20 30 32 42 44 60 62	763270956000
SPT(16)	2696711179710299879	0 50 72 84 128 152 162 168 194 200 210 234 278 290 312 362	780925233780
SPT(16)	2696711641539964891	0 12 76 78 118 196 250 252 316 318 372 450 490 492 556 568	1242754898792
TPT(14)	2696711759849831609	0 2 12 14 210 212 228 230 252 254 270 272 408 410	1361064765510