Prime p₀= 2046371874888902357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2046370142828923147	0 10 22 40 66 84 90 120 136 166 172 190 216 234 246 256	-1732059979210
SPT(16)	2046370299504094019	0 2 60 78 80 122 150 170 192 212 240 282 284 302 360 362	-1575384808338
STPT(10)	2046370321565968367	0 2 54 56 72 74 90 92 144 146	-1553322933990
SPT(16)	2046370619508514669	0 12 42 52 94 138 144 160 192 208 214 258 300 310 340 352	-1255380387688
STPT(10)	2046371246978012111	0 2 66 68 108 110 150 152 216 218	-627910890246
STPT(10)	2046371751759383681	0 2 6 8 48 50 90 92 96 98	-123129518676
SPT(16)	2046371881744811869	0 28 54 70 138 178 190 210 232 252 264 304 372 388 414 442	6855909512
TPT(14)	2046372467560870829	0 2 48 50 72 74 132 134 162 164 198 200 210 212	592671968472
TPT(14)	2046372945910516589	0 2 18 20 78 80 90 92 120 122 132 134 168 170	1071021614232
STPT(10)	2046372957930824009	0 2 12 14 90 92 168 170 180 182	1083041921652
STPT(10)	2046373001370160217	0 2 30 32 42 44 54 56 84 86	1126481257860