Prime p₀= 2286238305855804269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2286234900927191639	0 14 38 78 80 90 98 102 140 144 152 162 164 204 228 242	-3404928612630
SPT(16)	2286234935016883927	0 30 40 66 82 96 126 136 216 226 256 270 286 312 322 352	-3370838920342
STPT(10)	2286235649106287741	0 2 30 32 78 80 126 128 156 158	-2656749516528
STPT(10)	2286235758274212929	0 2 30 32 60 62 90 92 120 122	-2547581591340
STPT(10)	2286236614446636167	0 2 30 32 42 44 54 56 84 86	-1691409168102
TPT(14)	2286237988258173557	0 2 24 26 84 86 114 116 150 152 240 242 252 254	-317597630712
SPT(16)	2286238465037364053	0 80 104 128 144 150 188 198 266 276 314 320 336 360 384 464	159181559784
STPT(10)	2286238943712134417	0 2 30 32 42 44 54 56 84 86	637856330148
SPT(16)	2286239135574787781	0 36 50 108 110 122 180 212 246 278 336 348 350 408 422 458	829718983512
SPT(16)	2286239296457405869	0 24 34 40 72 82 142 154 198 210 270 280 312 318 328 352	990601601600
SPT(16)	2286239452170124889	0 8 20 62 92 102 140 158 162 180 218 228 258 300 312 320	1146314320620