Prime p₀= 1047931816378625999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

SPT(16)	1047930321251254739	0 2 78 114 138 140 162 168 254 260 282 284 308 344 420 422	-1495127371260
SPT(16)	1047930352515765463	0 10 66 70 78 90 108 114 280 286 304 316 324 328 384 394	-1463862860536
STPT(10)	1047930894817380269	0 2 12 14 90 92 168 170 180 182	-921561245730
STPT(12)	1047930907307679119	0 2 18 20 30 32 60 62 72 74 90 92	-909070946880
SPT(16)	1047931044556295111	0 2 38 62 66 80 92 116 132 156 168 182 186 210 246 248	-771822330888
SPT(16)	1047931258060146079	0 22 28 34 42 48 64 102 130 168 184 190 198 204 210 232	-558318479920
SPT(16)	1047931879492723283	0 6 24 36 50 66 80 104 120 144 158 174 188 200 218 224	63114097284
TPT(14)	1047931994758616081	0 2 30 32 36 38 186 188 228 230 240 242 246 248	178379990082
STPT(10)	1047932410471324559	0 2 18 20 30 32 42 44 60 62	594092698560
TPT(14)	1047932417933804729	0 2 18 20 132 134 138 140 210 212 240 242 258 260	601555178730
TPT(14)	1047932426243870939	0 2 72 74 78 80 90 92 102 104 132 134 198 200	609865244940