Prime p₀= 1069345514273626547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1069344656925430033	0 10 18 78 106 114 126 136 198 208 220 228 256 316 324 334	-857348196514
SPT(16)	1069344809839849303	0 28 36 46 48 88 166 210 334 378 456 496 498 508 516 544	-704433777244
SPT(16)	1069344962732760997	0 6 72 90 114 154 166 184 192 210 222 262 286 304 370 376	-551540865550
STPT(10)	1069345290238497791	0 2 36 38 78 80 120 122 156 158	-224035128756
SPT(16)	1069345317649424237	0 32 56 60 116 186 204 230 246 272 290 360 416 420 444 476	-196624202310
STPT(10)	1069345365409588019	0 2 18 20 30 32 42 44 60 62	-148864038528
SPT(16)	1069345592256931711	0 28 78 96 102 142 148 186 232 270 276 316 322 340 390 418	77983305164
SPT(16)	1069345688267171281	0 22 40 52 70 96 120 172 186 238 262 288 306 318 336 358	173993544734
TPT(14)	1069346051358295367	0 2 24 26 60 62 462 464 492 494 522 524 570 572	537084668820
SPT(16)	1069346193155994899	0 62 84 92 104 144 158 188 264 294 308 348 360 368 390 452	678882368352
TPT(14)	1069346233594388171	0 2 6 8 30 32 36 38 156 158 198 200 210 212	719320761624