Prime p₀= 4506264045710164979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Stony666
db: batch=85, k=10, 2 46 2 40 2

SPT(16)	4506261556750774783	0 48 54 58 84 88 114 120 124 130 156 160 186 190 196 244	-2488959390196
SPT(16)	4506262426714627399	0 28 34 58 78 94 118 120 142 144 168 184 204 228 234 262	-1618995537580
STPT(10)	4506262647003489269	0 2 18 20 60 62 102 104 120 122	-1398706675710
STPT(10)	4506263268540763517	0 2 12 14 72 74 132 134 144 146	-777169401462
SPT(16)	4506263599683910067	0 24 72 86 132 164 204 210 386 392 432 464 510 524 572 596	-446026254912
SPT(16)	4506263789201558311	0 6 16 22 36 82 96 102 310 316 330 376 390 396 406 412	-256508606668
STPT(10)	4506264374432903009	0 2 12 14 90 92 168 170 180 182	328722738030
STPT(10)	4506264656620946069	0 2 42 44 90 92 138 140 180 182	610910781090
STPT(12)	4506264714232613609	0 2 60 62 102 104 168 170 210 212 270 272	668522448630
STPT(10)	4506264808725645149	0 2 30 32 60 62 90 92 120 122	763015480170
STPT(10)	4506265176226700837	0 2 30 32 42 44 54 56 84 86	1130516535858