Prime p₀= 746578503302560931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Theadalus
db: batch=73, k=10, 2 28 2 28 2

STPT(10)	746577848076450347	0 2 60 62 72 74 84 86 144 146	-655226110584
SPT(16)	746577910266787789	0 24 40 54 64 84 112 120 142 150 178 198 208 222 238 262	-593035773142
STPT(10)	746577928039952081	0 2 78 80 108 110 138 140 216 218	-575262608850
STPT(10)	746577991400396717	0 2 42 44 72 74 102 104 144 146	-511902164214
TPT(14)	746578262594426111	0 2 48 50 90 92 120 122 126 128 150 152 306 308	-240708134820
SPT(16)	746578412246542919	0 8 30 50 60 84 110 170 192 252 278 302 312 332 354 362	-91056018012
SPT(16)	746578508798432941	0 10 46 52 60 72 102 142 180 220 250 262 270 276 312 322	5495872010
STPT(10)	746578656995936507	0 2 12 14 42 44 72 74 84 86	153693375576
STPT(10)	746578978071548519	0 2 42 44 60 62 78 80 120 122	474768987588
SPT(16)	746579052018088903	0 6 78 84 118 124 154 160 174 180 210 216 250 256 328 334	548715527972
SPT(16)	746579136986724673	0 88 106 126 186 190 198 228 238 268 276 280 340 360 378 466	633684163742