Prime p₀= 1289464340405312969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Cruncher Pete
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1289463453093518863	0 4 6 10 34 94 108 124 180 196 210 270 294 298 300 304	-887311794106
STPT(10)	1289463523225466087	0 2 42 44 72 74 102 104 144 146	-817179846882
STPT(12)	1289463593938253141	0 2 36 38 78 80 168 170 210 212 246 248	-746467059828
STPT(10)	1289464285056906767	0 2 12 14 72 74 132 134 144 146	-55348406202
STPT(10)	1289464297161953501	0 2 120 122 138 140 156 158 276 278	-43243359468
STPT(10)	1289464339165001807	0 2 90 92 132 134 174 176 264 266	-1240311162
SPT(16)	1289464397399670907	0 4 16 34 46 70 90 94 126 130 150 174 186 204 216 220	56994357938
STPT(10)	1289464587354128741	0 2 78 80 108 110 138 140 216 218	246948815772
SPT(16)	1289464697611543637	0 56 62 86 132 134 204 230 276 302 372 374 420 444 450 506	357206230668
SPT(16)	1289464879132760101	0 6 46 52 72 76 78 88 90 100 102 106 126 132 172 178	538727447132
SPT(16)	1289464906461491483	0 20 26 48 80 86 96 188 216 308 318 324 356 378 384 404	566056178514