Prime p₀= 497350543911536009 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: mcf2020
db: batch=70, k=10, 2 28 2 28 2

SPT(14)	497350479879185591	0 8 18 50 96 102 138 140 176 182 228 260 270 278	-64032350418
SPT(14)	497350498383052031	0 12 42 48 60 126 128 240 242 308 320 326 356 368	-45528483978
TPT(12)	497350502014337159	0 2 12 14 108 110 138 140 222 224 312 314	-41897198850
SPT(14)	497350510790001217	0 6 10 30 60 76 90 112 126 142 172 192 196 202	-33121534792
TPT(12)	497350512806523119	0 2 18 20 30 32 72 74 78 80 120 122	-31105012890
SPT(14)	497350513128910253	0 44 74 114 116 156 186 218 248 288 290 330 360 404	-30782625756
SPT(14)	497350553471403407	0 6 14 26 32 42 44 72 74 84 90 102 110 116	9559867398
SPT(14)	497350572562451581	0 10 28 30 36 52 102 106 156 172 178 180 198 208	28650915572
TPT(12)	497350612727349107	0 2 102 104 114 116 180 182 192 194 234 236	68815813098
SPT(14)	497350617595026541	0 16 22 52 108 220 232 246 258 370 426 456 462 478	73683490532
SPT(16)	497350635243565091	0 42 72 86 102 108 146 158 240 252 290 296 312 326 356 398	91332029082