Prime p₀= 1123334036852881727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1123333083624492857	0 2 30 32 42 44 54 56 84 86	-953228388870
SPT(16)	1123333150881963299	0 24 32 68 78 80 98 120 182 204 222 224 234 270 278 302	-885970918428
STPT(12)	1123333328510936369	0 2 12 14 30 32 162 164 180 182 192 194	-708341945358
SPT(16)	1123333407601875641	0 2 8 36 62 92 96 140 168 212 216 246 272 300 306 308	-629251006086
SPT(16)	1123333742544843751	0 6 60 132 160 172 208 286 312 390 426 438 466 538 592 598	-294308037976
STPT(10)	1123333841951154479	0 2 48 50 60 62 72 74 120 122	-194901727248
SPT(16)	1123334073617416123	0 24 84 106 138 144 156 166 168 178 190 196 228 250 310 334	36764534396
TPT(14)	1123334287843654877	0 2 12 14 42 44 144 146 222 224 312 314 324 326	250990773150
SPT(16)	1123334445648964313	0 8 14 24 36 48 66 78 86 98 116 128 140 150 156 164	408796082586
TPT(14)	1123334642281760057	0 2 30 32 114 116 144 146 204 206 210 212 240 242	605428878330
STPT(10)	1123334705374826291	0 2 6 8 48 50 90 92 96 98	668521944564