Prime p₀= 2123651180623552631 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: Landjunge
db: batch=80, k=10, 2 4 2 10 2

TPT(14)	2123649900346883771	0 2 18 20 36 38 126 128 156 158 198 200 258 260	-1280276668860
SPT(16)	2123650236640900049	0 20 38 132 164 180 188 210 242 264 272 288 320 414 432 452	-943982652582
SPT(16)	2123650552332516863	0 8 24 38 84 138 164 168 200 204 230 284 330 344 360 368	-628291035768
SPT(16)	2123650738940478227	0 6 56 96 110 182 194 216 260 282 294 366 380 420 470 476	-441683074404
TPT(14)	2123650759636851251	0 2 78 80 120 122 156 158 186 188 198 200 210 212	-420986701380
SPT(16)	2123651102654255407	0 34 72 76 120 156 210 246 310 346 400 436 480 484 522 556	-77969297224
TPT(14)	2123651768187625007	0 2 90 92 132 134 300 302 360 362 390 392 402 404	587564072376
STPT(10)	2123651815973486369	0 2 18 20 30 32 42 44 60 62	635349933738
SPT(13)	2123652484540155157	0 42 66 72 102 150 156 162 210 240 246 270 312	1303916602526
SPT(16)	2123652545120914889	0 8 12 42 50 60 74 102 110 138 152 162 170 200 204 212	1364497362258
SPT(18)	2123652636900856099	0 24 34 42 58 64 70 108 112 120 124 162 168 174 190 198 208 232	1456277303468