Prime p₀= 2079130981438415459 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: Landjunge
db: batch=80, k=10, 2 16 2 40 2

TPT(14)	2079130230819683729	0 2 48 50 72 74 162 164 198 200 240 242 252 254	-750618731730
STPT(10)	2079130397679223781	0 2 6 8 48 50 90 92 96 98	-583759191678
SPT(16)	2079130420824797437	0 6 10 30 60 70 126 172 180 226 282 292 322 342 346 352	-560613618022
SPT(18)	2079130732902539623	0 24 88 90 124 136 178 186 208 306 328 336 378 390 424 426 490 514	-248535875836
SPT(16)	2079130816129320383	0 36 44 50 96 108 126 156 188 218 236 248 294 300 308 344	-165309095076
SPT(16)	2079130910999622539	0 50 54 68 98 104 108 120 152 164 168 174 204 218 222 272	-70438792920
SPT(16)	2079131195837113633	0 4 24 54 70 108 120 130 144 154 166 204 220 250 270 274	214398698174
SPT(16)	2079131249647896467	0 30 116 150 174 182 200 206 210 216 234 242 266 300 386 416	268209481008
SPT(16)	2079131338721608747	0 6 34 42 76 94 130 142 144 156 192 210 244 252 280 286	357283193288
SPT(16)	2079131455953187829	0 12 30 44 72 90 110 134 138 162 182 200 228 242 260 272	474514772370
STPT(10)	2079132077738451467	0 2 30 32 42 44 54 56 84 86	1096300036008