Prime p₀= 1079799937928609057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Skivelitis2
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1079798872368800501	0 2 30 32 78 80 126 128 156 158	-1065559808556
SPT(16)	1079799145568203327	0 10 12 16 36 42 46 64 102 120 124 130 150 154 156 166	-792360405730
TPT(14)	1079799487317354887	0 2 12 14 24 26 42 44 150 152 222 224 270 272	-450611254170
STPT(10)	1079799530028973529	0 2 42 44 180 182 318 320 360 362	-407899635528
SPT(16)	1079799701310242323	0 4 6 48 78 108 190 210 214 234 316 346 376 418 420 424	-236618366734
SPT(16)	1079799931380971399	0 44 48 62 68 104 110 152 300 342 348 384 390 404 408 452	-6547637658
STPT(10)	1079799988861968947	0 2 42 44 72 74 102 104 144 146	50933359890
STPT(10)	1079800112674993637	0 2 30 32 72 74 114 116 144 146	174746384580
STPT(10)	1079800716062500889	0 2 78 80 120 122 162 164 240 242	778133891832
SPT(16)	1079800769914346351	0 18 72 86 92 98 120 188 210 278 300 306 312 326 380 398	831985737294
SPT(16)	1079800967328585811	0 40 46 70 108 136 150 196 222 268 282 310 348 372 378 418	1029399976754