Prime p₀= 2245817727020959697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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 58 2 10 2

TPT(14)	2245816431149458127	0 2 72 74 114 116 162 164 174 176 252 254 330 332	-1295871501570
SPT(18)	2245816648896207631	0 30 82 90 142 156 168 192 210 268 286 310 322 336 388 396 448 478	-1078124752066
STPT(10)	2245816650011988761	0 2 30 32 120 122 210 212 240 242	-1077008970936
SPT(16)	2245817038865496091	0 6 48 52 66 72 78 106 162 190 196 202 216 220 262 268	-688155463606
SPT(16)	2245817209900606261	0 12 22 30 40 82 150 178 210 238 306 348 358 366 376 388	-517120353436
STPT(10)	2245817484796298009	0 2 18 20 60 62 102 104 120 122	-242224661688
STPT(10)	2245818046285845077	0 2 54 56 72 74 90 92 144 146	319264885380
SPT(16)	2245818055768837477	0 6 70 102 144 180 214 222 244 252 286 322 364 396 460 466	328747877780
SPT(16)	2245818227351844157	0 6 12 36 46 84 124 126 130 132 172 210 220 244 250 256	500330884460
SPT(16)	2245818561521204489	0 30 42 72 74 78 98 110 252 264 284 288 290 320 332 362	834500244792
SPT(16)	2245818596659060391	0 8 36 50 62 68 72 92 126 146 150 156 168 182 210 218	869638100694