Prime p₀= 2123597021490174257 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=80, k=10, 2 28 2 10 2

STPT(10)	2123595315707332667	0 2 54 56 72 74 90 92 144 146	-1705782841590
STPT(12)	2123595577904206949	0 2 12 14 102 104 138 140 228 230 240 242	-1443585967308
SPT(16)	2123596009741969129	0 22 54 78 108 174 178 180 262 264 268 334 364 388 420 442	-1011748205128
SPT(18)	2123596117315578161	0 26 50 86 92 132 138 146 158 240 252 260 266 306 312 348 372 398	-904174596096
STPT(10)	2123596668538805399	0 2 18 20 30 32 42 44 60 62	-352951368858
SPT(16)	2123596946651717893	0 6 28 46 48 70 90 100 156 166 186 208 210 228 250 256	-74838456364
SPT(16)	2123597070040852027	0 46 150 172 180 196 234 252 304 322 360 376 384 406 510 556	48550677770
STPT(10)	2123597277038644541	0 2 36 38 78 80 120 122 156 158	255548470284
STPT(10)	2123597302159910177	0 2 12 14 42 44 72 74 84 86	280669735920
STPT(10)	2123597445940250471	0 2 36 38 78 80 120 122 156 158	424450076214
TPT(14)	2123597636687032841	0 2 18 20 30 32 60 62 126 128 150 152 186 188	615196858584