Prime p₀= 153120408098732717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: emoga
db: batch=67, k=10, 2 22 2 16 2

SPT(14)	153120371676780377	0 24 56 80 116 140 176 234 270 294 330 354 386 410	-36421952340
TPT(12)	153120378564294329	0 2 42 44 108 110 138 140 180 182 198 200	-29534438388
SPT(14)	153120381480584467	0 22 46 66 70 112 124 132 144 186 190 210 234 256	-26618148250
SPT(14)	153120389223763361	0 12 30 36 50 56 72 80 96 102 116 122 140 152	-18874969356
SPT(14)	153120391732950199	0 18 42 84 88 90 112 150 172 174 178 220 244 262	-16365782518
SPT(14)	153120404869110719	0 14 20 102 138 200 210 332 342 404 440 522 528 542	-3229621998
SPT(14)	153120410091395179	0 4 10 42 60 72 90 94 112 124 142 174 180 184	1992662462
SPT(14)	153120415143446977	0 70 76 90 130 142 186 370 414 426 466 480 486 556	7044714260
TPT(12)	153120415371593849	0 2 18 20 90 92 102 104 252 254 282 284	7272861132
SPT(14)	153120434108141501	0 8 50 56 78 86 108 140 162 170 192 198 240 248	26009408784
SPT(14)	153120440966715571	0 16 18 82 90 96 130 138 172 178 186 250 252 268	32867982854