Prime p₀= 3000127425835696439 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: Coleslaw
db: batch=82, k=10, 2 46 2 40 2

STPT(10)	3000126735023091941	0 2 36 38 78 80 120 122 156 158	-690812604498
STPT(10)	3000126973345437977	0 2 30 32 42 44 54 56 84 86	-452490258462
STPT(10)	3000126982179392621	0 2 6 8 48 50 90 92 96 98	-443656303818
SPT(16)	3000127293246320449	0 4 10 70 78 90 102 112 210 220 232 244 252 312 318 322	-132589375990
STPT(10)	3000127300483538957	0 2 30 32 42 44 54 56 84 86	-125352157482
SPT(16)	3000127305659096143	0 4 10 24 66 70 94 100 144 150 174 178 220 234 240 244	-120176600296
STPT(10)	3000127426265223809	0 2 42 44 60 62 78 80 120 122	429527370
SPT(16)	3000127900642972171	0 36 88 100 142 160 178 190 198 210 228 246 288 300 352 388	474807275732
STPT(10)	3000127965332882477	0 2 30 32 60 62 90 92 120 122	539497186038
TPT(14)	3000127999689929177	0 2 42 44 54 56 114 116 180 182 192 194 210 212	573854232738
SPT(16)	3000128067374246189	0 8 12 72 78 128 174 182 210 218 264 314 320 380 384 392	641538549750