Prime p₀= 2596458474731013437 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2596457038903483079	0 2 18 20 60 62 78 80 132 134 198 200 210 212	-1435827530358
SPT(16)	2596457161225096189	0 34 60 72 88 114 228 252 340 364 478 504 520 532 558 592	-1313505917248
STPT(10)	2596457164679735057	0 2 30 32 42 44 54 56 84 86	-1310051278380
STPT(10)	2596457321302659497	0 2 12 14 72 74 132 134 144 146	-1153428353940
STPT(10)	2596457767492434917	0 2 30 32 42 44 54 56 84 86	-707238578520
STPT(10)	2596458277929813371	0 2 6 8 48 50 90 92 96 98	-196801200066
TPT(14)	2596458747390723557	0 2 60 62 102 104 144 146 210 212 234 236 240 242	272659710120
SPT(16)	2596458839644366391	0 6 18 48 56 90 120 122 126 128 158 192 200 230 242 248	364913352954
STPT(10)	2596458887659543691	0 2 36 38 78 80 120 122 156 158	412928530254
STPT(10)	2596458933015555659	0 2 18 20 30 32 42 44 60 62	458284542222
SPT(16)	2596459034542112251	0 30 40 42 66 72 102 108 130 136 166 172 196 198 208 238	559811098814