Prime p₀= 2309244901154785331 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: Landjunge
db: batch=81, k=10, 2 76 2 28 2

SPT(16)	2309243861715026393	0 6 14 24 44 98 108 126 128 146 156 210 230 240 248 254	-1039439758938
SPT(16)	2309244170037669331	0 10 52 82 102 112 120 130 210 220 228 238 258 288 330 340	-731117116000
STPT(10)	2309244177513457139	0 2 48 50 90 92 132 134 180 182	-723641328192
STPT(10)	2309244543188867099	0 2 12 14 30 32 48 50 60 62	-357965918232
STPT(10)	2309244611707922069	0 2 18 20 30 32 42 44 60 62	-289446863262
SPT(16)	2309244647271059383	0 34 40 64 84 90 124 130 204 210 244 250 270 294 300 334	-253883725948
SPT(16)	2309245315393549109	0 12 14 20 44 80 114 140 162 188 222 258 282 288 290 302	414238763778
SPT(16)	2309245414639235539	0 4 18 34 48 84 88 120 178 210 214 250 264 280 294 298	513484450208
TPT(14)	2309245641820388561	0 2 6 8 36 38 90 92 96 98 108 110 180 182	740665603230
SPT(16)	2309245670550095983	0 18 34 58 60 84 118 124 144 150 184 208 210 234 250 268	769395310652
STPT(10)	2309245989547039967	0 2 30 32 72 74 114 116 144 146	1088392254636