Prime p₀= 2774637828725746127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2774636774521829309	0 24 30 32 42 50 120 180 182 242 312 320 330 332 338 362	-1054203916818
TPT(14)	2774636798106730937	0 2 30 32 84 86 90 92 120 122 144 146 204 206	-1030619015190
SPT(16)	2774636885525929261	0 6 48 78 90 118 136 138 160 162 180 208 220 250 292 298	-943199816866
SPT(16)	2774637191033057899	0 64 70 124 138 142 174 180 262 268 300 304 318 372 378 442	-637692688228
SPT(16)	2774637291905210483	0 26 36 48 78 90 120 188 198 266 296 308 338 350 360 386	-536820535644
STPT(10)	2774637612971644241	0 2 6 8 48 50 90 92 96 98	-215754101886
SPT(16)	2774637832229840987	0 12 26 50 54 60 114 126 170 182 236 242 246 270 284 296	3504094860
STPT(10)	2774637977255610671	0 2 6 8 18 20 30 32 36 38	148529864544
STPT(10)	2774638058449980101	0 2 36 38 78 80 120 122 156 158	229724233974
SPT(16)	2774638178800925351	0 12 18 26 56 62 90 122 126 158 186 192 222 230 236 248	350075179224
STPT(12)	2774638383429592619	0 2 18 20 30 32 90 92 102 104 120 122	554703846492