Prime p₀= 3008989399742756399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Orange Kid
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	3008988536948132957	0 26 30 32 50 84 110 114 122 126 152 186 204 206 210 236	-862794623442
TPT(14)	3008988603417651707	0 2 12 14 30 32 72 74 144 146 180 182 222 224	-796325104692
STPT(10)	3008988729518694719	0 2 18 20 30 32 42 44 60 62	-670224061680
STPT(10)	3008988967914920699	0 2 42 44 60 62 78 80 120 122	-431827835700
TPT(14)	3008989172067897167	0 2 30 32 84 86 90 92 114 116 120 122 162 164	-227674859232
STPT(10)	3008989389202911857	0 2 12 14 42 44 72 74 84 86	-10539844542
STPT(10)	3008989598844738989	0 2 18 20 30 32 42 44 60 62	199101982590
SPT(16)	3008989746165520099	0 24 30 34 58 72 90 94 198 202 220 234 258 262 268 292	346422763700
SPT(16)	3008989863250709021	0 32 68 110 116 158 168 182 246 260 270 312 318 360 396 428	463507952622
SPT(16)	3008989876586417807	0 20 26 62 72 96 102 144 152 194 200 224 234 270 276 296	476843661408
SPT(16)	3008990239352087227	0 42 46 52 54 72 76 84 142 150 154 172 174 180 184 226	839609330828