Prime p₀= 2134666612026702539 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: Vato
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2134665932781871739	0 42 48 90 92 98 110 120 152 162 174 180 182 224 230 272	-679244830800
SPT(16)	2134666064252454587	0 2 32 44 50 116 134 164 282 312 330 396 402 414 444 446	-547774247952
SPT(18)	2134666122030061643	0 38 50 56 66 80 84 108 114 170 176 200 204 218 228 234 246 284	-489996640896
STPT(10)	2134666147780684247	0 2 30 32 72 74 114 116 144 146	-464246018292
SPT(16)	2134666462814851033	0 4 46 54 66 84 120 138 286 304 340 358 370 378 420 424	-149211851506
STPT(10)	2134666572388599647	0 2 30 32 72 74 114 116 144 146	-39638102892
SPT(16)	2134666903189365001	0 22 28 30 52 72 78 136 162 220 226 246 268 270 276 298	291162662462
SPT(16)	2134667168508073313	0 6 8 48 56 60 66 78 86 98 104 108 116 156 158 164	556481370774
SPT(16)	2134667334699965713	0 70 96 118 130 148 196 216 238 258 306 324 336 358 384 454	722673263174
STPT(12)	2134667553268620527	0 2 42 44 54 56 120 122 132 134 174 176	941241917988
STPT(10)	2134667682566554691	0 2 6 8 48 50 90 92 96 98	1070539852152