Prime p₀= 1124822581757418959 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: crashtech
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1124821224588742069	0 28 72 112 114 120 124 154 168 198 202 208 210 250 294 322	-1357168676890
STPT(10)	1124821510377424829	0 2 12 14 30 32 48 50 60 62	-1071379994130
STPT(10)	1124821540272469679	0 2 12 14 90 92 168 170 180 182	-1041484949280
STPT(10)	1124821592999400851	0 2 36 38 78 80 120 122 156 158	-988758018108
SPT(16)	1124821829794290373	0 40 64 70 100 106 114 166 204 256 264 270 300 306 330 370	-751963128586
STPT(10)	1124822310912980591	0 2 6 8 18 20 30 32 36 38	-270844438368
STPT(10)	1124822612807710247	0 2 12 14 72 74 132 134 144 146	31050291288
SPT(16)	1124822651751690491	0 20 42 68 78 80 98 110 120 132 150 152 162 188 210 230	69994271532
STPT(10)	1124822756581266929	0 2 18 20 30 32 42 44 60 62	174823847970
SPT(16)	1124823787271080943	0 44 48 78 104 114 120 146 288 314 320 330 356 386 390 434	1205513661984
STPT(10)	1124823893809718717	0 2 24 26 42 44 60 62 84 86	1312052299758