Prime p₀= 1304712549565956887 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: [SG-2W]Kurzer
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1304711130952403299	0 10 54 60 222 250 294 352 390 448 492 520 682 688 732 742	-1418613553588
SPT(16)	1304711272303410449	0 14 18 20 24 60 84 90 98 104 128 164 168 170 174 188	-1277262546438
SPT(16)	1304711373086604997	0 12 24 30 64 70 82 132 142 192 204 210 244 250 262 274	-1176479351890
SPT(20)	1304711385756008033	0 86 108 126 144 156 168 188 240 248 276 284 336 356 368 380 398 416 438 524	-1163809948854
TPT(16)	1304711467703050871	0 2 90 92 156 158 198 200 228 230 246 248 330 332 540 542	-1081862906016
SPT(16)	1304712113035695583	0 4 30 66 88 90 126 148 156 178 214 216 238 274 300 304	-436530261304
SPT(16)	1304712900708094543	0 4 30 84 106 108 150 184 240 274 316 318 340 394 420 424	351142137656
STPT(10)	1304713062527535497	0 2 12 14 72 74 132 134 144 146	512961578610
SPT(16)	1304713145599764727	0 10 24 46 72 84 102 112 144 154 172 184 210 232 246 256	596033807840
TPT(14)	1304713197697267817	0 2 42 44 54 56 60 62 84 86 90 92 114 116	648131310930
SPT(16)	1304713198834856143	0 16 54 120 130 154 180 196 198 214 240 264 274 340 378 394	649268899256