Prime p₀= 2694358235797187987 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: JonS
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2694357133264594741	0 10 30 48 66 72 118 126 142 150 196 202 220 238 258 268	-1102532593246
STPT(10)	2694357442581088127	0 2 30 32 42 44 54 56 84 86	-793216099860
STPT(10)	2694357465764761331	0 2 96 98 108 110 120 122 216 218	-770032426656
SPT(16)	2694357569898235963	0 100 108 124 138 148 210 250 264 304 366 376 390 406 414 514	-665898952024
SPT(16)	2694357916746877673	0 14 56 84 116 120 134 140 210 216 230 234 266 294 336 350	-319050310314
STPT(10)	2694358076070735689	0 2 18 20 30 32 42 44 60 62	-159726452298
TPT(14)	2694358325811813599	0 2 30 32 108 110 210 212 222 224 240 242 288 290	90014625612
STPT(10)	2694358702972120241	0 2 36 38 78 80 120 122 156 158	467174932254
SPT(16)	2694358737422696053	0 6 28 34 40 78 84 136 138 190 196 234 240 246 268 274	501625508066
STPT(10)	2694359140181282447	0 2 30 32 42 44 54 56 84 86	904384094460
SPT(16)	2694359405263972591	0 6 18 22 60 90 132 148 150 166 208 238 276 280 292 298	1169466784604