Prime p₀= 2735349896112156689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 76 2

SPT(16)	2735348346304448311	0 10 48 66 82 112 136 138 220 222 246 276 292 310 348 358	-1549807708378
SPT(16)	2735348618294383051	0 10 46 58 70 78 112 130 168 186 220 228 240 252 288 298	-1277817773638
SPT(16)	2735348857269613859	0 2 44 92 120 182 200 222 242 264 282 344 372 420 462 464	-1038842542830
STPT(10)	2735349015603522551	0 2 30 32 78 80 126 128 156 158	-880508634138
STPT(10)	2735349422049532787	0 2 30 32 72 74 114 116 144 146	-474062623902
STPT(10)	2735349862779083519	0 2 12 14 30 32 48 50 60 62	-33333073170
SPT(20)	2735350181139054203	0 8 86 104 114 134 158 200 216 230 294 308 324 366 390 410 420 438 516 524	285026897514
STPT(10)	2735350198383946397	0 2 90 92 102 104 114 116 204 206	302271789708
SPT(16)	2735350277140882433	0 6 50 68 74 116 120 146 168 194 198 240 246 264 308 314	381028725744
SPT(16)	2735350318798549559	0 30 38 90 104 132 144 150 182 188 200 228 242 294 302 332	422686392870
SPT(16)	2735350861125872929	0 18 30 64 70 84 150 154 228 232 298 312 318 352 364 382	965013716240