Prime p₀= 1296957028016443439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Cruncher Pete
db: batch=77, k=10, 2 46 2 10 2

SPT(16)	1296955533337672189	0 4 28 70 94 108 114 120 142 148 154 168 192 234 258 262	-1494678771250
TPT(14)	1296955919225675381	0 2 30 32 36 38 126 128 168 170 180 182 210 212	-1108790768058
STPT(10)	1296956042793065321	0 2 6 8 18 20 30 32 36 38	-985223378118
STPT(10)	1296956047883351039	0 2 18 20 30 32 42 44 60 62	-980133092400
SPT(16)	1296956228975269469	0 14 32 38 80 90 150 164 228 242 302 312 354 360 378 392	-799041173970
SPT(16)	1296956641176970777	0 6 34 94 112 154 174 180 196 202 222 264 282 342 370 376	-386839472662
STPT(10)	1296957411347451911	0 2 36 38 78 80 120 122 156 158	383331008472
STPT(10)	1296957794849615537	0 2 60 62 72 74 84 86 144 146	766833172098
STPT(10)	1296957982651955357	0 2 24 26 42 44 60 62 84 86	954635511918
STPT(10)	1296958057225309481	0 2 30 32 60 62 90 92 120 122	1029208866042
STPT(10)	1296958563159577817	0 2 90 92 102 104 114 116 204 206	1535143134378