Prime p₀= 2068543338715410881 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Cruncher Pete
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2068542320521034977	0 72 120 160 166 180 196 220 222 246 262 276 282 322 370 442	-1018194375904
SPT(16)	2068542385534320001	0 36 40 60 70 82 88 102 106 120 126 138 148 168 172 208	-953181090880
SPT(16)	2068542385989939641	0 6 38 80 90 108 110 122 126 138 140 158 168 210 242 248	-952725471240
STPT(10)	2068542494906666411	0 2 6 8 48 50 90 92 96 98	-843808744470
SPT(16)	2068542579403660201	0 18 46 70 76 90 132 168 190 226 268 282 288 312 340 358	-759311750680
STPT(10)	2068542946673253101	0 2 6 8 18 20 30 32 36 38	-392042157780
SPT(16)	2068543582873040167	0 6 16 60 82 90 112 114 142 144 166 174 196 240 250 256	244157629286
STPT(10)	2068543679643304607	0 2 42 44 72 74 102 104 144 146	340927893726
SPT(16)	2068543742838017741	0 18 20 30 36 48 98 116 132 150 200 212 218 228 230 248	404122606860
TPT(14)	2068543835285501141	0 2 66 68 96 98 138 140 150 152 168 170 198 200	496570090260
STPT(10)	2068544113906980947	0 2 12 14 42 44 72 74 84 86	775191570066