Prime p₀= 1040765199379108961 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: aendgraend
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1040763922545925999	0 18 82 84 88 102 124 154 168 198 220 234 238 240 304 322	-1276833182962
STPT(10)	1040763992161747031	0 2 6 8 48 50 90 92 96 98	-1207217361930
STPT(10)	1040764107000796361	0 2 30 32 120 122 210 212 240 242	-1092378312600
SPT(16)	1040764152947609647	0 16 30 72 90 112 124 142 144 162 174 196 214 256 270 286	-1046431499314
SPT(16)	1040764503415360001	0 12 66 78 80 116 150 182 186 218 252 288 290 302 356 368	-695963748960
STPT(10)	1040764821240639371	0 2 30 32 60 62 90 92 120 122	-378138469590
STPT(10)	1040765304276407387	0 2 12 14 42 44 72 74 84 86	104897298426
SPT(16)	1040765431812297329	0 12 14 24 48 54 80 108 134 162 188 194 218 228 230 242	232433188368
STPT(10)	1040766126843922481	0 2 36 38 78 80 120 122 156 158	927464813520
STPT(10)	1040766603064694321	0 2 6 8 48 50 90 92 96 98	1403685585360
SPT(16)	1040766603367851299	0 32 60 78 98 108 120 122 210 212 224 234 254 272 300 332	1403988742338