Prime p₀= 1122847770955232261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: gemini8
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1122847085472788579	0 18 50 80 102 168 170 200 462 492 494 560 582 612 644 662	-685482443682
STPT(10)	1122847269541569797	0 2 30 32 42 44 54 56 84 86	-501413662464
STPT(10)	1122847455631629989	0 2 18 20 30 32 42 44 60 62	-315323602272
SPT(18)	1122847456696792279	0 18 82 88 112 154 168 172 208 264 300 304 318 360 384 390 454 472	-314258439982
SPT(16)	1122847600206856297	0 22 34 54 70 96 112 154 222 264 280 306 322 342 354 376	-170748375964
STPT(10)	1122847750643003237	0 2 30 32 72 74 114 116 144 146	-20312229024
SPT(16)	1122847985662280981	0 8 38 42 162 206 228 272 306 350 372 416 536 540 570 578	214707048720
SPT(16)	1122848085553838209	0 52 102 144 168 192 222 238 294 310 340 364 388 430 480 532	314598605948
STPT(10)	1122848445967925777	0 2 60 62 72 74 84 86 144 146	675012693516
STPT(10)	1122848853878905187	0 2 60 62 72 74 84 86 144 146	1082923672926
SPT(16)	1122849228470036377	0 24 70 90 142 156 244 274 282 312 400 414 466 486 532 556	1457514804116