Prime p₀= 3034562431411130231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: JayPi
db: batch=82, k=10, 2 76 2 28 2

SPT(16)	3034559389964253559	0 24 28 30 48 78 118 130 132 144 184 214 232 234 238 262	-3041446876672
STPT(10)	3034559405116479311	0 2 36 38 78 80 120 122 156 158	-3026294650920
STPT(10)	3034559718980899157	0 2 42 44 72 74 102 104 144 146	-2712430231074
SPT(16)	3034560521928700243	0 30 40 70 78 114 168 190 198 220 274 310 318 348 358 388	-1909482429988
SPT(16)	3034561095435262369	0 28 48 58 72 88 130 160 210 240 282 298 312 322 342 370	-1335975867862
SPT(16)	3034562417509555453	0 54 58 66 96 100 174 198 286 310 384 388 418 426 430 484	-13901574778
STPT(10)	3034563032981345651	0 2 36 38 78 80 120 122 156 158	601570215420
TPT(14)	3034563317322074051	0 2 48 50 90 92 96 98 150 152 216 218 258 260	885910943820
STPT(10)	3034563857147869997	0 2 30 32 42 44 54 56 84 86	1425736739766
SPT(16)	3034564104607201451	0 8 20 32 50 98 110 126 152 168 180 228 246 258 270 278	1673196071220
SPT(16)	3034564816019867161	0 30 66 72 100 106 132 166 192 226 252 258 286 292 328 358	2384608736930