Prime p₀= 745727721364835351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	745726424433527041	0 10 30 52 70 88 102 112 126 136 150 168 186 208 228 238	-1296931308310
SPT(18)	745726445065097473	0 40 84 94 118 120 168 204 234 274 304 340 388 390 414 424 468 508	-1276299737878
STPT(10)	745726560214192547	0 2 12 14 42 44 72 74 84 86	-1161150642804
SPT(16)	745727034489594151	0 30 42 70 108 120 142 148 150 156 178 190 228 256 268 298	-686875241200
TPT(14)	745727062844992517	0 2 84 86 90 92 120 122 132 134 174 176 240 242	-658519842834
STPT(10)	745727284089240317	0 2 42 44 72 74 102 104 144 146	-437275595034
TPT(14)	745727755408075481	0 2 18 20 96 98 108 110 150 152 186 188 228 230	34043240130
STPT(10)	745728007454434049	0 2 42 44 90 92 138 140 180 182	286089598698
SPT(16)	745728024590441447	0 20 36 66 86 122 132 140 156 164 174 210 230 260 276 296	303225606096
SPT(16)	745728144244735219	0 42 52 60 78 94 120 142 150 172 198 214 232 240 250 292	422879899868
STPT(10)	745728168380621549	0 2 12 14 30 32 48 50 60 62	447015786198