Prime p₀= 1079122651168311089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1079121213347901599	0 42 68 80 98 108 120 150 152 182 194 204 222 234 260 302	-1437820409490
STPT(10)	1079121330484007231	0 2 36 38 78 80 120 122 156 158	-1320684303858
SPT(16)	1079121361162127149	0 28 94 102 114 198 210 234 298 322 334 418 430 438 504 532	-1290006183940
STPT(10)	1079121387824184077	0 2 90 92 102 104 114 116 204 206	-1263344127012
SPT(16)	1079121752364330889	0 12 40 42 70 82 102 118 132 148 168 180 208 210 238 250	-898803980200
TPT(14)	1079122513998674477	0 2 24 26 54 56 120 122 180 182 294 296 384 386	-137169636612
SPT(16)	1079122878726081247	0 6 42 60 76 114 132 156 190 214 232 270 286 304 340 346	227557770158
SPT(16)	1079123026034799397	0 16 40 94 126 192 226 252 304 330 364 430 462 516 540 556	374866488308
TPT(14)	1079123489314018847	0 2 30 32 72 74 150 152 264 266 294 296 402 404	838145707758
TPT(14)	1079123540846550839	0 2 12 14 78 80 90 92 168 170 222 224 258 260	889678239750
STPT(10)	1079123723525751089	0 2 18 20 30 32 42 44 60 62	1072357440000