Prime p₀= 2178801718874579297 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: Penguin
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2178801174847659443	0 20 50 56 86 90 146 156 158 168 224 228 258 264 294 314	-544026919854
TPT(14)	2178801209684638151	0 2 6 8 30 32 60 62 96 98 138 140 216 218	-509189941146
SPT(16)	2178801250553517091	0 12 36 78 112 126 130 138 160 168 172 186 220 262 286 298	-468321062206
STPT(10)	2178801292417156697	0 2 90 92 132 134 174 176 264 266	-426457422600
SPT(16)	2178801338117805749	0 8 38 54 60 74 78 80 162 164 168 182 188 204 234 242	-380756773548
SPT(16)	2178801637627133641	0 6 28 70 72 82 90 106 132 148 156 166 168 210 232 238	-81247445656
STPT(10)	2178801881457288389	0 2 30 32 120 122 210 212 240 242	162582709092
STPT(10)	2178802058299120937	0 2 12 14 72 74 132 134 144 146	339424541640
SPT(16)	2178802346946956483	0 18 114 134 140 156 174 200 324 350 368 384 390 410 506 524	628072377186
STPT(10)	2178802426538290517	0 2 30 32 42 44 54 56 84 86	707663711220
SPT(16)	2178802437529740181	0 18 66 70 76 108 112 118 180 186 190 222 228 232 280 298	718655160884