Prime p₀= 1176186959814071369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1176186565916026879	0 12 82 112 130 142 144 154 240 250 252 264 282 312 382 394	-393898044490
SPT(16)	1176186579130724533	0 28 36 60 88 106 120 130 144 154 168 186 214 238 246 274	-380683346836
SPT(16)	1176186661912672057	0 6 16 42 142 156 190 216 226 252 286 300 400 426 436 442	-297901399312
STPT(10)	1176186819797109011	0 2 90 92 108 110 126 128 216 218	-140016962358
SPT(16)	1176186822947724737	0 42 44 74 80 84 90 102 212 224 230 234 240 270 272 314	-136866346632
TPT(14)	1176186830863230839	0 2 30 32 42 44 90 92 102 104 162 164 210 212	-128950840530
STPT(10)	1176187241002004219	0 2 18 20 30 32 42 44 60 62	281187932850
STPT(10)	1176187535294233079	0 2 48 50 60 62 72 74 120 122	575480161710
SPT(16)	1176187713176759867	0 12 42 80 84 90 96 114 122 140 146 152 156 194 224 236	753362688498
STPT(10)	1176187717241624369	0 2 18 20 60 62 102 104 120 122	757427553000
SPT(16)	1176188003575059551	0 6 60 86 180 198 206 228 278 300 308 326 420 446 500 506	1043760988182