Prime p₀= 1268638335188366039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: vinn@[CNT]
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1268637030775349153	0 14 48 74 90 120 128 176 198 246 254 284 300 326 360 374	-1304413016886
SPT(16)	1268637178763420077	0 10 30 36 72 82 112 150 196 234 264 274 310 316 336 346	-1156424945962
SPT(16)	1268637506199842281	0 28 46 52 60 66 72 76 192 196 202 208 216 222 240 268	-828988523758
TPT(14)	1268637610187633891	0 2 18 20 36 38 78 80 168 170 210 212 216 218	-725000732148
STPT(10)	1268637823928492747	0 2 30 32 72 74 114 116 144 146	-511259873292
STPT(10)	1268638010973203579	0 2 18 20 60 62 102 104 120 122	-324215162460
STPT(10)	1268638422762110357	0 2 12 14 42 44 72 74 84 86	87573744318
STPT(10)	1268638511067223661	0 2 30 32 78 80 126 128 156 158	175878857622
SPT(16)	1268638701606198781	0 108 118 126 138 150 166 172 216 222 238 250 262 270 280 388	366417832742
TPT(14)	1268639702772484619	0 2 12 14 78 80 108 110 168 170 192 194 222 224	1367584118580
TPT(14)	1268640177264790817	0 2 12 14 42 44 60 62 84 86 102 104 180 182	1842076424778