Prime p₀= 2553653834230151267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2553652331148470117	0 54 60 122 164 174 186 192 224 230 242 252 294 356 362 416	-1503081681150
SPT(16)	2553652595904083309	0 18 32 38 44 62 102 104 108 110 150 168 174 180 194 212	-1238326067958
STPT(10)	2553652603177240931	0 2 36 38 78 80 120 122 156 158	-1231052910336
STPT(10)	2553652812774303311	0 2 36 38 78 80 120 122 156 158	-1021455847956
STPT(10)	2553652952158436309	0 2 18 20 30 32 42 44 60 62	-882071714958
STPT(10)	2553653375598968969	0 2 18 20 30 32 42 44 60 62	-458631182298
STPT(10)	2553653842016383817	0 2 42 44 72 74 102 104 144 146	7786232550
SPT(16)	2553653864024369789	0 44 50 60 62 68 78 114 158 194 204 210 212 222 228 272	29794218522
SPT(16)	2553654060586556701	0 16 42 72 82 100 102 112 156 166 168 186 196 226 252 268	226356405434
STPT(10)	2553654125841497681	0 2 30 32 60 62 90 92 120 122	291611346414
SPT(16)	2553654178819993219	0 10 18 24 28 84 120 148 150 178 214 270 274 280 288 298	344589841952