Prime p₀= 383168531939951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: crashtech
db: batch=60, k=10, 2 4 2 10 2

SPT(14)	383151846917449	0 12 22 52 78 82 108 142 168 172 198 228 238 250	-16685022502
SPT(14)	383153901407353	0 6 30 48 84 94 114 130 150 160 196 214 238 244	-14630532598
SPT(14)	383156274568549	0 10 18 42 58 84 100 102 118 144 160 184 192 202	-12257371402
SPT(14)	383156581746019	0 12 28 54 60 70 78 124 132 142 148 174 190 202	-11950193932
SPT(14)	383163555224159	0 2 24 42 54 62 72 80 90 98 110 128 150 152	-4976715792
SPT(14)	383164663887763	0 10 18 30 66 88 114 190 216 238 274 286 294 304	-3868052188
SPT(14)	383168709077851	0 12 22 42 48 76 88 120 132 160 166 186 196 208	177137900
SPT(16)	383173976204779	0 4 18 30 34 58 60 64 84 88 90 114 118 130 144 148	5444264828
STPT(10)	383196251485517	0 2 30 32 42 44 54 56 84 86	27719545566
SPT(14)	383203491972979	0 10 12 30 54 108 118 174 184 238 262 280 282 292	34960033028
TPT(12)	383206268078507	0 2 42 44 150 152 234 236 264 266 282 284	37736138556