Prime p₀= 1289462953389409061 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1289461870170472721	0 30 62 66 86 116 132 188 270 326 342 372 392 396 428 458	-1083218936340
SPT(16)	1289462230474125941	0 36 48 72 128 156 192 228 230 266 302 330 386 410 422 458	-722915283120
STPT(10)	1289462356100889791	0 2 6 8 18 20 30 32 36 38	-597288519270
SPT(16)	1289462461983330431	0 26 30 38 86 96 98 108 158 168 170 180 228 236 240 266	-491406078630
SPT(16)	1289462509531294909	0 12 132 142 180 202 220 222 238 240 258 280 318 328 448 460	-443858114152
SPT(16)	1289462888610696557	0 2 24 30 44 60 72 80 84 92 104 120 134 140 162 164	-64778712504
STPT(10)	1289463256089003767	0 2 30 32 72 74 114 116 144 146	302699594706
SPT(16)	1289463453093518863	0 4 6 10 34 94 108 124 180 196 210 270 294 298 300 304	499704109802
STPT(10)	1289463523225466087	0 2 42 44 72 74 102 104 144 146	569836057026
STPT(12)	1289463593938253141	0 2 36 38 78 80 168 170 210 212 246 248	640548844080
STPT(10)	1289464285056906767	0 2 12 14 72 74 132 134 144 146	1331667497706