Prime p₀= 740741613731992217 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)	740740129294791937	0 6 10 24 34 72 90 100 126 136 154 192 202 216 220 226	-1484437200280
STPT(10)	740740321255570841	0 2 6 8 18 20 30 32 36 38	-1292476421376
SPT(16)	740740584827590549	0 10 30 88 100 108 132 142 168 178 202 210 222 280 300 310	-1028904401668
SPT(16)	740740767823433381	0 8 12 26 32 42 50 56 132 138 146 156 162 176 180 188	-845908558836
TPT(14)	740741455679274869	0 2 42 44 72 74 120 122 150 152 210 212 222 224	-158052717348
STPT(10)	740741473350830069	0 2 18 20 30 32 42 44 60 62	-140381162148
SPT(16)	740741687562466021	0 18 40 46 66 82 120 126 232 238 276 292 312 318 340 358	73830473804
SPT(16)	740741731047472603	0 4 30 66 88 108 126 166 198 238 256 276 298 334 360 364	117315480386
SPT(16)	740741909804166401	0 6 80 110 120 138 140 182 186 228 230 248 258 288 362 368	296072174184
SPT(16)	740742145984440307	0 22 24 42 70 100 154 226 240 312 366 396 424 442 444 466	532252448090
TPT(14)	740742338606078621	0 2 36 38 126 128 156 158 336 338 366 368 456 458	724874086404