Prime p₀= 2576959105862633909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

SPT(16)	2576957734253612819	0 30 62 92 132 134 162 174 218 230 258 260 300 330 362 392	-1371609021090
STPT(10)	2576958335412133817	0 2 42 44 72 74 102 104 144 146	-770450500092
SPT(16)	2576958392281377787	0 12 72 82 102 124 132 154 300 322 330 352 372 382 442 454	-713581256122
STPT(10)	2576958778280829461	0 2 30 32 78 80 126 128 156 158	-327581804448
SPT(16)	2576958785217841559	0 12 38 54 68 78 80 104 168 192 194 204 218 234 260 272	-320644792350
STPT(10)	2576959040011103729	0 2 42 44 60 62 78 80 120 122	-65851530180
STPT(10)	2576959336171268999	0 2 18 20 30 32 42 44 60 62	230308635090
STPT(10)	2576959613266563797	0 2 30 32 42 44 54 56 84 86	507403929888
STPT(10)	2576959949436692681	0 2 36 38 78 80 120 122 156 158	843574058772
TPT(14)	2576960025630184631	0 2 6 8 138 140 180 182 348 350 360 362 378 380	919767550722
STPT(10)	2576960139046603337	0 2 30 32 42 44 54 56 84 86	1033183969428