Prime p₀= 2356856784076097111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 40 2

TPT(14)	2356855579783290029	0 2 42 44 78 80 90 92 120 122 132 134 168 170	-1204292807082
STPT(12)	2356855579783290071	0 2 36 38 48 50 78 80 90 92 126 128	-1204292807040
TPT(14)	2356856165701533929	0 2 30 32 108 110 138 140 198 200 240 242 270 272	-618374563182
SPT(16)	2356856351471257381	0 42 72 76 100 120 130 142 270 282 292 312 336 340 370 412	-432604839730
STPT(10)	2356856534782735157	0 2 42 44 72 74 102 104 144 146	-249293361954
STPT(10)	2356856548232483081	0 2 36 38 78 80 120 122 156 158	-235843614030
STPT(12)	2356857390341629949	0 2 42 44 48 50 132 134 138 140 180 182	606265532838
STPT(10)	2356858430278470917	0 2 30 32 120 122 210 212 240 242	1646202373806
SPT(16)	2356859141648853103	0 34 36 94 100 124 136 234 250 348 360 384 390 448 450 484	2357572755992
SPT(16)	2356859297310567323	0 44 54 74 110 120 140 180 200 240 260 270 306 326 336 380	2513234470212
STPT(10)	2356859421073805897	0 2 30 32 42 44 54 56 84 86	2636997708786