Prime p₀= 1016269238014024871 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1016268649905169769	0 8 50 122 150 164 174 188 234 248 258 272 300 372 414 422	-588108855102
TPT(14)	1016268763852395629	0 2 42 44 78 80 90 92 102 104 168 170 240 242	-474161629242
STPT(10)	1016268965317764209	0 2 18 20 60 62 102 104 120 122	-272696260662
STPT(10)	1016268994120083797	0 2 30 32 60 62 90 92 120 122	-243893941074
SPT(16)	1016268998823113219	0 42 62 84 92 120 150 204 218 272 302 330 338 360 380 422	-239190911652
SPT(16)	1016269158931814659	0 4 28 48 54 82 84 144 148 208 210 238 244 264 288 292	-79082210212
SPT(16)	1016269747748231203	0 36 54 78 90 96 120 126 168 174 198 204 216 240 258 294	509734206332
SPT(16)	1016269971754290191	0 12 26 38 80 92 110 126 152 168 186 198 240 252 266 278	733740265320
SPT(16)	1016269974231750871	0 10 58 90 138 198 210 220 240 250 262 322 370 402 450 460	736217726000
SPT(16)	1016270215327374299	0 12 18 42 84 120 158 168 194 204 242 278 320 344 350 362	977313349428
STPT(10)	1016270325579946667	0 2 24 26 42 44 60 62 84 86	1087565921796