Prime p₀= 2591405289096640139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2591404253726196833	0 8 60 114 134 158 176 200 204 228 246 270 290 344 396 404	-1035370443306
STPT(10)	2591404390020267317	0 2 60 62 72 74 84 86 144 146	-899076372822
SPT(16)	2591404494057709639	0 4 24 28 78 82 102 114 178 190 210 214 264 268 288 292	-795038930500
SPT(16)	2591404790112810493	0 30 34 64 70 138 148 174 184 210 220 288 294 324 328 358	-498983829646
STPT(10)	2591405242576977257	0 2 54 56 72 74 90 92 144 146	-46519662882
STPT(10)	2591405257180099991	0 2 36 38 78 80 120 122 156 158	-31916540148
STPT(10)	2591405532743647589	0 2 12 14 30 32 48 50 60 62	243647007450
STPT(10)	2591405722928739329	0 2 18 20 30 32 42 44 60 62	433832099190
STPT(10)	2591405826452134619	0 2 48 50 90 92 132 134 180 182	537355494480
SPT(16)	2591405879243015047	0 36 52 70 72 90 120 156 160 196 226 244 246 264 280 316	590146374908
SPT(18)	2591405985182863951	0 6 22 48 70 72 90 138 148 180 190 238 256 258 280 306 322 328	696086223812