Prime p₀= 2328659681060682857 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2328657640580194739	0 2 12 14 30 32 48 50 60 62	-2040480488118
SPT(16)	2328657785904589081	0 42 106 108 112 118 120 150 178 208 210 216 220 222 286 328	-1895156093776
STPT(10)	2328657815040543167	0 2 30 32 42 44 54 56 84 86	-1866020139690
STPT(10)	2328657931188747251	0 2 30 32 60 62 90 92 120 122	-1749871935606
SPT(16)	2328658112095016021	0 42 50 92 116 126 140 150 302 312 326 336 360 402 410 452	-1568965666836
SPT(16)	2328659559958553707	0 22 34 36 70 84 100 114 172 186 202 216 250 252 264 286	-121102129150
SPT(16)	2328659831485959599	0 12 50 62 80 92 104 132 140 168 180 192 210 222 260 272	150425276742
STPT(10)	2328659872494639347	0 2 42 44 72 74 102 104 144 146	191433956490
STPT(10)	2328660003837197969	0 2 78 80 120 122 162 164 240 242	322776515112
TPT(14)	2328660330501604901	0 2 60 62 138 140 156 158 168 170 216 218 258 260	649440922044
STPT(10)	2328660399273697757	0 2 30 32 72 74 114 116 144 146	718213014900