Prime p₀= 2504178175580140427 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2504174484451633177	0 10 22 66 106 112 120 126 136 142 150 156 196 240 252 262	-3691128507250
STPT(10)	2504174631410332577	0 2 30 32 72 74 114 116 144 146	-3544169807850
TPT(14)	2504174707752295421	0 2 30 32 48 50 156 158 186 188 198 200 258 260	-3467827845006
SPT(16)	2504175080982510253	0 30 40 58 70 96 120 148 156 184 208 234 246 264 274 304	-3094597630174
SPT(16)	2504176658299337969	0 30 68 72 120 128 134 188 204 258 264 272 320 324 362 392	-1517280802458
SPT(16)	2504178105646239331	0 36 66 70 72 78 130 136 162 168 220 226 228 232 262 298	-69933901096
TPT(14)	2504178362984019341	0 2 6 8 90 92 168 170 180 182 228 230 240 242	187403878914
TPT(14)	2504178807559337267	0 2 102 104 144 146 204 206 240 242 294 296 300 302	631979196840
STPT(10)	2504178886150966667	0 2 24 26 42 44 60 62 84 86	710570826240
SPT(16)	2504178914746595591	0 26 36 50 60 92 110 128 150 168 186 218 228 242 252 278	739166455164
SPT(16)	2504179916683494911	0 2 36 38 86 98 102 116 162 176 180 192 240 242 276 278	1741103354484