Prime p₀= 1033596425133592667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

TPT(14)	1033595737741036409	0 2 42 44 60 62 78 80 90 92 198 200 240 242	-687392556258
STPT(10)	1033596074191476317	0 2 30 32 42 44 54 56 84 86	-350942116350
STPT(10)	1033596105642938837	0 2 24 26 42 44 60 62 84 86	-319490653830
SPT(16)	1033596254645603729	0 2 12 84 98 104 114 150 152 188 198 204 218 290 300 302	-170487988938
SPT(16)	1033596387374567033	0 8 26 30 36 50 90 96 128 134 174 188 194 198 216 224	-37759025634
SPT(16)	1033596400405156573	0 10 18 24 40 66 108 150 154 196 238 264 280 286 294 304	-24728436094
SPT(16)	1033597227147810289	0 12 70 90 132 208 222 252 298 328 342 418 460 480 538 550	802014217622
SPT(16)	1033597358347149779	0 42 68 74 80 98 128 144 218 234 264 282 288 294 320 362	933213557112
SPT(16)	1033597743899288003	0 20 30 44 74 90 144 200 228 284 338 354 384 398 408 428	1318765695336
SPT(16)	1033597812348854677	0 40 42 46 114 124 166 196 240 270 312 322 390 394 396 436	1387215262010
SPT(16)	1033597825001106203	0 24 54 56 60 68 80 86 138 144 156 164 168 170 200 224	1399867513536