Prime p₀= 3006099910981444559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: conf [MM]
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	3006097249353960989	0 8 54 78 84 90 108 110 162 164 182 188 194 218 264 272	-2661627483570
STPT(10)	3006098328053659121	0 2 6 8 48 50 90 92 96 98	-1582927785438
SPT(16)	3006099081520994087	0 24 44 62 72 96 102 140 156 194 200 224 234 252 272 296	-829460450472
STPT(10)	3006099221494425107	0 2 30 32 102 104 174 176 204 206	-689487019452
SPT(16)	3006099283761546923	0 20 30 60 68 96 98 110 144 156 158 186 194 224 234 254	-627219897636
STPT(10)	3006099888082328501	0 2 36 38 78 80 120 122 156 158	-22899116058
STPT(10)	3006099972133936859	0 2 18 20 30 32 42 44 60 62	61152492300
STPT(10)	3006100474205106329	0 2 42 44 60 62 78 80 120 122	563223661770
STPT(10)	3006100596436445927	0 2 12 14 42 44 72 74 84 86	685455001368
SPT(16)	3006100645287680179	0 12 72 82 108 162 184 198 274 288 310 364 390 400 460 472	734306235620
SPT(16)	3006100763559338651	0 12 72 78 98 126 198 206 222 230 302 330 350 356 416 428	852577894092