Prime p₀= 1289463256089003767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1289462230474125941	0 36 48 72 128 156 192 228 230 266 302 330 386 410 422 458	-1025614877826
STPT(10)	1289462356100889791	0 2 6 8 18 20 30 32 36 38	-899988113976
SPT(16)	1289462461983330431	0 26 30 38 86 96 98 108 158 168 170 180 228 236 240 266	-794105673336
SPT(16)	1289462509531294909	0 12 132 142 180 202 220 222 238 240 258 280 318 328 448 460	-746557708858
SPT(16)	1289462888610696557	0 2 24 30 44 60 72 80 84 92 104 120 134 140 162 164	-367478307210
STPT(10)	1289462953389409061	0 2 6 8 48 50 90 92 96 98	-302699594706
SPT(16)	1289463453093518863	0 4 6 10 34 94 108 124 180 196 210 270 294 298 300 304	197004515096
STPT(10)	1289463523225466087	0 2 42 44 72 74 102 104 144 146	267136462320
STPT(12)	1289463593938253141	0 2 36 38 78 80 168 170 210 212 246 248	337849249374
STPT(10)	1289464285056906767	0 2 12 14 72 74 132 134 144 146	1028967903000
STPT(10)	1289464297161953501	0 2 120 122 138 140 156 158 276 278	1041072949734