Prime p₀= 2586227290961578079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2586225606723861691	0 10 28 58 66 70 88 96 310 318 336 340 348 378 396 406	-1684237716388
SPT(16)	2586225646937352437	0 14 36 44 56 62 84 86 90 92 114 120 132 140 162 176	-1644024225642
SPT(16)	2586226227375052081	0 18 28 78 96 106 130 186 250 306 330 340 358 408 418 436	-1063586525998
SPT(16)	2586226629326024579	0 24 114 138 152 168 192 200 222 230 254 270 284 308 398 422	-661635553500
SPT(16)	2586226899686779369	0 40 52 60 70 94 124 150 172 198 228 252 262 270 282 322	-391274798710
STPT(10)	2586226934028621197	0 2 30 32 42 44 54 56 84 86	-356932956882
STPT(10)	2586227572044715889	0 2 42 44 90 92 138 140 180 182	281083137810
TPT(16)	2586227578630415141	0 2 36 38 78 80 156 158 168 170 186 188 210 212 288 290	287668837062
SPT(16)	2586227688375180547	0 40 46 54 66 76 102 106 150 154 180 190 202 210 216 256	397413602468
TPT(14)	2586227719081818587	0 2 42 44 114 116 144 146 150 152 180 182 312 314	428120240508
SPT(16)	2586227769007697491	0 6 10 42 48 52 78 102 136 160 186 190 196 228 232 238	478046119412