Prime p₀= 820185865087287227 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Theadalus
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	820185059747205587	0 12 32 74 96 152 182 186 200 204 234 290 312 354 374 386	-805340081640
SPT(16)	820185169359267577	0 60 66 82 130 132 154 166 390 402 424 426 474 490 496 556	-695728019650
STPT(10)	820185286623516557	0 2 42 44 72 74 102 104 144 146	-578463770670
SPT(16)	820185369083070553	0 36 40 54 58 70 138 148 156 166 234 246 250 264 268 304	-496004216674
SPT(16)	820185607537237709	0 32 42 54 62 102 104 144 218 258 260 300 308 320 330 362	-257550049518
SPT(16)	820185707911129303	0 6 64 78 84 118 148 150 154 156 186 220 226 240 298 304	-157176157924
SPT(16)	820185895313519263	0 6 18 90 124 148 154 204 250 300 306 330 364 436 448 454	30226232036
STPT(10)	820185934815705551	0 2 36 38 78 80 120 122 156 158	69728418324
TPT(14)	820186491381937451	0 2 36 38 90 92 126 128 198 200 228 230 258 260	626294650224
TPT(14)	820186816488634961	0 2 18 20 36 38 90 92 120 122 156 158 210 212	951401347734
SPT(16)	820186942242038353	0 24 30 90 118 124 160 178 240 258 294 300 328 388 394 418	1077154751126