Prime p₀= 732678299006754521 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	732677012934774907	0 4 6 42 52 94 114 130 156 172 192 234 244 280 282 286	-1286071979614
STPT(10)	732677453999667257	0 2 54 56 72 74 90 92 144 146	-845007087264
SPT(16)	732677749664311141	0 6 28 78 96 126 132 148 150 166 172 202 220 270 292 298	-549342443380
SPT(16)	732678084475600457	0 6 42 50 62 152 242 260 276 294 384 474 486 494 530 536	-214531154064
SPT(16)	732678217135156549	0 78 82 102 112 138 148 180 220 252 262 288 298 318 322 400	-81871597972
STPT(10)	732678293740680611	0 2 30 32 78 80 126 128 156 158	-5266073910
STPT(10)	732678528024008381	0 2 6 8 48 50 90 92 96 98	229017253860
STPT(10)	732678931539423131	0 2 6 8 48 50 90 92 96 98	632532668610
TPT(14)	732679102081987349	0 2 42 44 90 92 132 134 198 200 210 212 258 260	803075232828
STPT(10)	732679366828333679	0 2 18 20 30 32 42 44 60 62	1067821579158
STPT(10)	732679431047537789	0 2 12 14 30 32 48 50 60 62	1132040783268