Prime p₀= 1505156027564697017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Spectrum
db: batch=78, k=10, 2 40 2 28 2

SPT(16)	1505153647257804553	0 10 16 36 64 70 126 150 190 214 270 276 304 324 330 340	-2380306892464
SPT(16)	1505153746306472893	0 36 46 54 100 114 148 166 168 186 220 234 280 288 298 334	-2281258224124
SPT(16)	1505154033754958101	0 12 16 40 58 102 126 132 166 172 196 240 258 282 286 298	-1993809738916
STPT(10)	1505154558864470807	0 2 42 44 72 74 102 104 144 146	-1468700226210
SPT(16)	1505155219320384139	0 4 18 28 48 78 84 112 120 148 154 184 204 214 228 232	-808244312878
STPT(10)	1505155813154229329	0 2 42 44 60 62 78 80 120 122	-214410467688
STPT(10)	1505156482578286997	0 2 30 32 42 44 54 56 84 86	455013589980
TPT(14)	1505156482633065641	0 2 30 32 36 38 78 80 120 122 150 152 198 200	455068368624
SPT(16)	1505156500055333537	0 32 150 194 236 266 294 300 416 422 450 480 522 566 684 716	472490636520
SPT(16)	1505156766697909573	0 6 36 40 84 100 118 120 154 156 174 190 234 238 268 274	739133212556
SPT(16)	1505156880697377997	0 6 24 36 40 60 64 82 174 192 196 216 220 232 250 256	853132680980