Prime p₀= 1296956047883351039 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1296955494232670537	0 2 42 44 72 74 102 104 144 146	-553650680502
SPT(16)	1296955500809098037	0 12 20 26 66 90 110 140 216 246 266 290 330 336 344 356	-547074253002
SPT(16)	1296955531009402079	0 92 110 114 134 138 140 188 204 252 254 258 278 282 300 392	-516873948960
SPT(16)	1296955533337672189	0 4 28 70 94 108 114 120 142 148 154 168 192 234 258 262	-514545678850
TPT(14)	1296955919225675381	0 2 30 32 36 38 126 128 168 170 180 182 210 212	-128657675658
STPT(10)	1296956042793065321	0 2 6 8 18 20 30 32 36 38	-5090285718
SPT(16)	1296956228975269469	0 14 32 38 80 90 150 164 228 242 302 312 354 360 378 392	181091918430
SPT(16)	1296956641176970777	0 6 34 94 112 154 174 180 196 202 222 264 282 342 370 376	593293619738
STPT(10)	1296957028016443439	0 2 48 50 60 62 72 74 120 122	980133092400
STPT(10)	1296957411347451911	0 2 36 38 78 80 120 122 156 158	1363464100872
STPT(10)	1296957794849615537	0 2 60 62 72 74 84 86 144 146	1746966264498