Prime p₀= 740346928141972817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	740346118870533173	0 8 50 60 104 108 186 216 218 248 326 330 374 384 426 434	-809271439644
TPT(14)	740346300223923059	0 2 60 62 78 80 120 122 162 164 198 200 210 212	-627918049758
SPT(16)	740346466165427501	0 6 18 20 72 86 90 102 146 158 162 176 228 230 242 248	-461976545316
STPT(10)	740346584861106701	0 2 30 32 78 80 126 128 156 158	-343280866116
SPT(16)	740346716914537027	0 42 52 84 114 136 142 232 234 324 330 352 382 414 424 466	-211227435790
SPT(16)	740346726829681297	0 6 34 46 54 72 76 120 166 210 214 232 240 252 280 286	-201312291520
STPT(10)	740347017528552827	0 2 30 32 42 44 54 56 84 86	89386580010
STPT(10)	740347027146137771	0 2 6 8 48 50 90 92 96 98	99004164954
SPT(16)	740347254966202327	0 90 156 196 222 252 262 292 294 324 334 364 390 430 496 586	326824229510
STPT(10)	740347314387925799	0 2 42 44 60 62 78 80 120 122	386245952982
STPT(12)	740347945193596559	0 2 30 32 42 44 108 110 120 122 150 152	1017051623742