Prime p₀= 1268999003421863807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: mikey
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1268998264718973127	0 10 22 36 100 124 132 136 180 184 192 216 280 294 306 316	-738702890680
SPT(16)	1268998299536948347	0 12 42 52 66 70 96 112 180 196 222 226 240 250 280 292	-703884915460
STPT(10)	1268998321403371457	0 2 90 92 132 134 174 176 264 266	-682018492350
STPT(10)	1268998342269647147	0 2 12 14 72 74 132 134 144 146	-661152216660
SPT(16)	1268998685810299109	0 54 74 98 110 164 168 182 210 224 228 282 294 318 338 392	-317611564698
STPT(10)	1268998812087555707	0 2 54 56 72 74 90 92 144 146	-191334308100
SPT(16)	1268999603125550479	0 10 28 60 72 154 198 222 280 304 348 430 442 474 492 502	599703686672
SPT(16)	1268999948175693623	0 24 120 156 168 194 224 240 374 390 420 446 458 494 590 614	944753829816
STPT(10)	1269000172190896511	0 2 36 38 78 80 120 122 156 158	1168769032704
SPT(16)	1269000375430774351	0 18 66 78 96 106 162 186 232 256 312 322 340 352 400 418	1372008910544
SPT(16)	1269000997430542073	0 8 48 66 68 84 104 110 174 180 200 216 218 236 276 284	1994008678266