Prime p₀= 2878720018901263721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: matsu_pl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2878719076739388797	0 26 50 126 132 146 264 266 270 272 390 404 410 486 510 536	-942161874924
STPT(10)	2878719204488935859	0 2 18 20 60 62 102 104 120 122	-814412327862
STPT(10)	2878719323919415577	0 2 30 32 42 44 54 56 84 86	-694981848144
SPT(18)	2878719336189475459	0 4 28 42 48 64 114 172 184 258 270 328 378 394 400 414 438 442	-682711788262
STPT(10)	2878719638696656757	0 2 30 32 60 62 90 92 120 122	-380204606964
SPT(16)	2878719967584250987	0 10 36 42 66 82 112 120 196 204 234 250 274 280 306 316	-51317012734
SPT(16)	2878720354703169037	0 66 166 172 190 204 216 222 244 250 262 276 294 300 400 466	335801905316
SPT(16)	2878720665719244491	0 6 80 120 126 140 176 192 200 216 252 266 272 312 386 392	646817980770
STPT(10)	2878720792357808477	0 2 72 74 102 104 132 134 204 206	773456544756
SPT(16)	2878721543854242157	0 4 10 22 54 60 64 82 84 102 106 112 144 156 162 166	1524952978436
STPT(10)	2878721885248567409	0 2 78 80 120 122 162 164 240 242	1866347303688