Prime p₀= 2328717975785255321 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: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2328716958276302521	0 96 118 126 132 148 166 196 222 252 270 286 292 300 322 418	-1017508952800
TPT(14)	2328716994407713409	0 2 78 80 108 110 132 134 162 164 192 194 210 212	-981377541912
SPT(16)	2328717194932959773	0 60 68 90 98 108 120 126 158 164 176 186 194 216 224 284	-780852295548
STPT(10)	2328717496073730647	0 2 12 14 72 74 132 134 144 146	-479711524674
STPT(10)	2328717595040223587	0 2 54 56 72 74 90 92 144 146	-380745031734
SPT(16)	2328717758686077461	0 6 30 110 140 170 176 308 330 462 468 498 528 608 632 638	-217099177860
STPT(10)	2328718225362021671	0 2 6 8 48 50 90 92 96 98	249576766350
SPT(16)	2328718377889621547	0 14 26 62 92 96 110 162 194 246 260 264 294 330 342 356	402104366226
TPT(14)	2328718740171653801	0 2 108 110 138 140 168 170 186 188 336 338 360 362	764386398480
STPT(10)	2328718764121386737	0 2 60 62 72 74 84 86 144 146	788336131416
STPT(10)	2328719103042028979	0 2 18 20 60 62 102 104 120 122	1127256773658