Prime p₀= 2541419619364179311 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: SEARCHER
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2541418364751275441	0 12 56 66 108 132 146 152 216 222 236 260 302 312 356 368	-1254612903870
STPT(10)	2541418837235005697	0 2 54 56 72 74 90 92 144 146	-782129173614
STPT(10)	2541419042962726019	0 2 42 44 60 62 78 80 120 122	-576401453292
SPT(16)	2541419235909982933	0 18 46 64 70 88 114 120 304 310 336 354 360 378 406 424	-383454196378
STPT(10)	2541419397001656341	0 2 30 32 78 80 126 128 156 158	-222362522970
STPT(10)	2541419397969892241	0 2 6 8 48 50 90 92 96 98	-221394287070
STPT(10)	2541419819173801337	0 2 30 32 72 74 114 116 144 146	199809622026
STPT(10)	2541420569938223789	0 2 12 14 30 32 48 50 60 62	950574044478
STPT(10)	2541421148005143449	0 2 42 44 90 92 138 140 180 182	1528640964138
TPT(14)	2541421469784987371	0 2 30 32 96 98 126 128 288 290 336 338 360 362	1850420808060
SPT(16)	2541422195264384191	0 6 18 78 112 130 132 160 168 196 198 216 250 310 322 328	2575900204880