Prime p₀= 4276847001559163699 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)	4276845997070701393	0 10 40 48 66 136 208 240 304 336 408 478 496 504 534 544	-1004488462306
SPT(16)	4276846056819620887	0 10 12 52 54 66 82 94 102 114 130 142 144 184 186 196	-944739542812
SPT(16)	4276846325521475807	0 6 12 62 84 90 110 132 134 156 176 182 204 254 260 266	-676037687892
STPT(10)	4276846481761478921	0 2 6 8 18 20 30 32 36 38	-519797684778
STPT(10)	4276846609970759579	0 2 18 20 30 32 42 44 60 62	-391588404120
TPT(14)	4276846730523980747	0 2 54 56 114 116 120 122 162 164 180 182 222 224	-271035182952
SPT(16)	4276847498171839889	0 42 48 60 62 68 74 110 132 168 174 180 182 194 200 242	496612676190
STPT(10)	4276847507226647567	0 2 30 32 42 44 54 56 84 86	505667483868
SPT(16)	4276847526128911813	0 4 24 30 36 78 118 126 178 186 226 268 274 280 300 304	524569748114
SPT(16)	4276847804589169981	0 40 78 90 120 132 160 162 166 168 196 208 238 250 288 328	803030006282
SPT(16)	4276848021562584487	0 6 22 60 70 96 120 130 162 172 196 222 232 270 286 292	1020003420788