Prime p₀= 1124719699193695901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: crashtech
db: batch=76, k=10, 2 4 2 10 2

SPT(20)	1124718034075195783	0 10 84 94 100 130 174 198 256 276 328 348 406 430 474 504 510 520 594 604	-1665118500118
SPT(16)	1124718479610086939	0 8 12 50 68 78 110 152 168 210 242 252 270 308 312 320	-1219583608962
TPT(14)	1124718717141788651	0 2 120 122 150 152 156 158 180 182 198 200 210 212	-982051907250
SPT(18)	1124718911883777461	0 6 26 30 66 96 128 216 248 258 290 378 410 440 476 480 500 506	-787309918440
SPT(16)	1124719224350458753	0 4 24 46 106 108 126 168 196 238 256 258 318 340 360 364	-474843237148
SPT(16)	1124719530358502699	0 20 32 74 80 132 152 158 174 180 200 252 258 300 312 332	-168835193202
SPT(16)	1124719742458568549	0 14 20 30 60 62 108 122 150 164 210 212 242 252 258 272	43264872648
SPT(16)	1124720425534498511	0 12 20 26 38 60 80 108 140 168 188 210 222 228 236 248	726340802610
SPT(16)	1124720520977513389	0 4 34 42 48 94 210 264 298 352 468 514 520 528 558 562	821783817488
STPT(10)	1124720612862146087	0 2 60 62 72 74 84 86 144 146	913668450186
SPT(16)	1124720872356057539	0 30 54 90 98 138 170 194 234 258 290 330 338 374 398 428	1173162361638