Prime p₀= 1122848445967925777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: gemini8
db: batch=76, k=10, 2 58 2 10 2

SPT(18)	1122847456696792279	0 18 82 88 112 154 168 172 208 264 300 304 318 360 384 390 454 472	-989271133498
SPT(16)	1122847600206856297	0 22 34 54 70 96 112 154 222 264 280 306 322 342 354 376	-845761069480
STPT(10)	1122847750643003237	0 2 30 32 72 74 114 116 144 146	-695324922540
STPT(10)	1122847770955232261	0 2 30 32 60 62 90 92 120 122	-675012693516
SPT(16)	1122847985662280981	0 8 38 42 162 206 228 272 306 350 372 416 536 540 570 578	-460305644796
SPT(16)	1122848085553838209	0 52 102 144 168 192 222 238 294 310 340 364 388 430 480 532	-360414087568
STPT(10)	1122848853878905187	0 2 60 62 72 74 84 86 144 146	407910979410
SPT(16)	1122849228470036377	0 24 70 90 142 156 244 274 282 312 400 414 466 486 532 556	782502110600
STPT(10)	1122849296148455261	0 2 78 80 138 140 198 200 276 278	850180529484
SPT(16)	1122849386296200991	0 16 18 28 46 52 82 96 112 126 156 162 180 190 192 208	940328275214
STPT(10)	1122849669625253147	0 2 30 32 42 44 54 56 84 86	1223657327370