Prime p₀= 1295676747682836689 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: Cruncher Pete
db: batch=77, k=10, 2 40 2 16 2

STPT(12)	1295675625307368629	0 2 18 20 42 44 78 80 102 104 120 122	-1122375468060
STPT(10)	1295675853785457437	0 2 42 44 72 74 102 104 144 146	-893897379252
SPT(16)	1295675929866586817	0 2 30 42 44 54 72 96 110 134 152 162 164 176 204 206	-817816249872
SPT(16)	1295675955733695253	0 40 64 76 78 84 124 154 210 240 280 286 288 300 324 364	-791949141436
STPT(10)	1295676324982975751	0 2 6 8 48 50 90 92 96 98	-422699860938
SPT(16)	1295676370870907651	0 48 62 68 86 90 138 146 162 170 218 222 240 246 260 308	-376811929038
STPT(10)	1295676852502308737	0 2 24 26 42 44 60 62 84 86	104819472048
SPT(16)	1295677061677724683	0 16 18 90 100 126 184 226 228 270 328 354 364 436 438 454	313994887994
STPT(10)	1295677539564026777	0 2 30 32 72 74 114 116 144 146	791881190088
SPT(16)	1295677950090201241	0 22 42 48 76 88 126 142 186 202 240 252 280 286 306 328	1202407364552
STPT(10)	1295678043989194049	0 2 30 32 60 62 90 92 120 122	1296306357360