Prime p₀= 2116680936386208131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: ChUcK
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2116679437185532831	0 42 148 150 156 162 190 192 196 198 226 232 238 240 346 388	-1499200675300
STPT(10)	2116680080161333199	0 2 42 44 60 62 78 80 120 122	-856224874932
SPT(16)	2116680136414272557	0 32 72 86 120 144 156 162 164 170 182 206 240 254 294 326	-799971935574
STPT(10)	2116680303694337837	0 2 30 32 42 44 54 56 84 86	-632691870294
STPT(10)	2116680318946062809	0 2 42 44 60 62 78 80 120 122	-617440145322
SPT(16)	2116680907058538487	0 16 30 72 90 106 130 156 160 186 210 226 244 286 300 316	-29327669644
TPT(14)	2116680968421142601	0 2 90 92 126 128 156 158 168 170 228 230 258 260	32034934470
SPT(16)	2116681067905509317	0 50 146 174 186 192 210 270 356 416 434 440 452 480 576 626	131519301186
SPT(16)	2116681070707455503	0 14 18 26 38 80 104 110 144 150 174 216 228 236 240 254	134321247372
STPT(10)	2116681101875498297	0 2 60 62 72 74 84 86 144 146	165489290166
STPT(10)	2116681279974642707	0 2 42 44 72 74 102 104 144 146	343588434576