Prime p₀= 2397220241124676337 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2397217508545909303	0 4 34 36 46 78 106 130 174 198 226 258 268 270 300 304	-2732578767034
SPT(16)	2397217822652715929	0 14 42 48 80 104 122 168 194 240 258 282 314 320 348 362	-2418471960408
STPT(10)	2397218292210452531	0 2 6 8 18 20 30 32 36 38	-1948914223806
SPT(16)	2397218576090953781	0 48 140 200 206 246 248 270 308 330 332 372 378 438 530 578	-1665033722556
SPT(16)	2397218919014026753	0 18 24 46 60 120 144 148 216 220 244 304 318 340 346 364	-1322110649584
SPT(16)	2397219839615265487	0 6 34 84 96 102 114 132 154 172 184 190 202 252 280 286	-401509410850
STPT(10)	2397220498438931411	0 2 36 38 78 80 120 122 156 158	257314255074
STPT(10)	2397220662683497559	0 2 18 20 30 32 42 44 60 62	421558821222
STPT(10)	2397220824932189369	0 2 42 44 120 122 198 200 240 242	583807513032
STPT(10)	2397220834937680769	0 2 42 44 90 92 138 140 180 182	593813004432
SPT(16)	2397221011145335891	0 18 90 120 132 138 162 168 172 178 202 208 220 250 322 340	770020659554