Prime p₀= 2239301216614217849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Penguin
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2239300732069976843	0 6 8 30 50 56 60 66 98 104 108 114 134 156 158 164	-484544241006
STPT(10)	2239300815470507417	0 2 30 32 72 74 114 116 144 146	-401143710432
SPT(16)	2239300831908542651	0 2 6 18 68 96 168 170 228 230 302 330 380 392 396 398	-384705675198
SPT(16)	2239300884143923921	0 18 40 60 76 90 112 126 142 156 178 192 208 228 250 268	-332470293928
STPT(10)	2239300999895145887	0 2 30 32 42 44 54 56 84 86	-216719071962
STPT(10)	2239301096597159891	0 2 6 8 18 20 30 32 36 38	-120017057958
STPT(10)	2239301220482789129	0 2 18 20 30 32 42 44 60 62	3868571280
SPT(16)	2239301359446243383	0 20 26 104 146 156 176 260 264 348 368 378 420 498 504 524	142832025534
SPT(16)	2239301848847607751	0 6 30 58 72 100 120 130 198 208 228 256 270 298 322 328	632233389902
STPT(10)	2239301888419225307	0 2 12 14 42 44 72 74 84 86	671805007458
SPT(16)	2239302225067377047	0 14 44 56 90 132 134 152 204 222 224 266 300 312 342 356	1008453159198