Prime p₀= 2071776719499628019 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: Landjunge
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2071776196501074823	0 16 30 48 96 106 130 138 148 156 180 190 238 256 270 286	-522998553196
STPT(10)	2071776212626784759	0 2 18 20 30 32 42 44 60 62	-506872843260
SPT(16)	2071776322964798033	0 8 78 90 104 108 140 146 168 174 206 210 224 236 306 314	-396534829986
STPT(10)	2071776336368937239	0 2 18 20 30 32 42 44 60 62	-383130690780
STPT(10)	2071776485702086529	0 2 42 44 60 62 78 80 120 122	-233797541490
SPT(16)	2071776554736218723	0 18 98 116 120 138 158 164 240 246 266 284 288 306 386 404	-164763409296
STPT(10)	2071776729963722609	0 2 42 44 60 62 78 80 120 122	10464094590
SPT(16)	2071777390491413723	0 6 44 60 104 140 224 228 266 270 354 390 434 450 488 494	670991785704
STPT(10)	2071777534406149457	0 2 30 32 42 44 54 56 84 86	814906521438
SPT(16)	2071778900568097603	0 16 54 64 78 88 120 124 210 214 246 256 270 280 318 334	2181068469584
STPT(10)	2071779319470609167	0 2 12 14 42 44 72 74 84 86	2599970981148