Prime p₀= 2166344254881554687 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: Groo
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2166343001876537647	0 16 34 70 100 102 114 142 144 172 184 186 216 252 270 286	-1253005017040
STPT(10)	2166343054953678581	0 2 30 32 78 80 126 128 156 158	-1199927876106
TPT(14)	2166343126948155761	0 2 6 8 60 62 90 92 306 308 366 368 378 380	-1127933398926
STPT(10)	2166343334730582101	0 2 6 8 48 50 90 92 96 98	-920150972586
TPT(14)	2166343750272710399	0 2 18 20 108 110 138 140 150 152 180 182 222 224	-504608844288
SPT(16)	2166344142423079093	0 10 28 94 114 126 144 180 184 220 238 250 270 336 354 364	-112458475594
STPT(10)	2166344369951246657	0 2 30 32 42 44 54 56 84 86	115069691970
SPT(16)	2166344480487869651	0 2 6 12 26 30 32 68 120 156 158 162 176 182 186 188	225606314964
SPT(16)	2166344494502475949	0 12 78 84 90 120 154 160 162 168 202 232 238 244 310 322	239620921262
SPT(16)	2166344960846232629	0 8 42 50 72 92 110 128 162 180 198 218 240 248 282 290	705964677942
SPT(16)	2166345614162198803	0 24 66 90 166 180 204 220 234 250 274 288 364 388 430 454	1359280644116