Prime p₀= 2041675271190706607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2041673736851648321	0 2 36 38 78 80 120 122 156 158	-1534339058286
SPT(13)	2041673757509003461	0 12 72 132 162 180 210 240 258 288 348 408 420	-1513681703146
SPT(16)	2041673941522156369	0 24 54 64 84 114 124 142 150 168 178 208 228 238 268 292	-1329668550238
SPT(16)	2041674460770357139	0 48 82 90 220 234 262 270 412 420 448 462 592 600 634 682	-810420349468
STPT(10)	2041674463102954649	0 2 12 14 30 32 48 50 60 62	-808087751958
STPT(10)	2041674756338347367	0 2 12 14 42 44 72 74 84 86	-514852359240
STPT(10)	2041675473533494829	0 2 30 32 60 62 90 92 120 122	202342788222
TPT(14)	2041675971833088299	0 2 18 20 78 80 90 92 120 122 198 200 258 260	700642381692
STPT(10)	2041676381538954047	0 2 30 32 42 44 54 56 84 86	1110348247440
SPT(16)	2041678061146041179	0 8 14 24 32 60 98 102 140 144 182 210 218 228 234 242	2789955334572
SPT(16)	2041678271726832439	0 12 78 88 94 108 112 120 172 180 184 198 204 214 280 292	3000536125832