Prime p₀= 1121591845217561717 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1121588919580318489	0 24 40 54 88 108 112 124 138 150 154 174 208 222 238 262	-2925637243228
STPT(10)	1121590674043473449	0 2 12 14 30 32 48 50 60 62	-1171174088268
SPT(16)	1121590784777783809	0 30 34 48 60 88 90 144 184 238 240 268 280 294 298 328	-1060439777908
STPT(10)	1121591209523871389	0 2 30 32 120 122 210 212 240 242	-635693690328
STPT(10)	1121591343918367871	0 2 6 8 48 50 90 92 96 98	-501299193846
STPT(10)	1121591546031259739	0 2 18 20 60 62 102 104 120 122	-299186301978
SPT(16)	1121591883658931753	0 24 50 90 134 158 168 210 224 266 276 300 344 384 410 434	38441370036
STPT(10)	1121592089310692969	0 2 12 14 30 32 48 50 60 62	244093131252
STPT(10)	1121592211036392377	0 2 42 44 72 74 102 104 144 146	365818830660
SPT(16)	1121592258383596159	0 28 42 54 130 168 222 228 244 250 304 342 418 430 444 472	413166034442
SPT(16)	1121592463857781001	0 30 60 80 102 108 128 140 150 162 182 188 210 230 260 290	618640219284